2261162880 has 192 divisors, whose sum is σ = 7834273200. Its totient is φ = 600956928.

The previous prime is 2261162879. The next prime is 2261162881. The reversal of 2261162880 is 882611622.

2261162880 is a `hidden beast` number, since 2 + 26 + 1 + 1 + 628 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2261162879) and next prime (2261162881).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2261162880² = 10225715139779788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261162881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631891 + ... + 2632749.

Almost surely, 2^2261162880 is an apocalyptic number.

2261162880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917136600).

2261162880 is an abundant number, since it is smaller than the sum of its proper divisors (5573110320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2261162880 is a wasteful number, since it uses less digits than its factorization.

2261162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2261162880 is about 47551.6864054263. The cubic root of 2261162880 is about 1312.5341618319.

It can be divided in two parts, 22611 and 62880, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 2261162880 in words is "two billion, two hundred sixty-one million, one hundred sixty-two thousand, eight hundred eighty".