2261661246 has 96 divisors (see below), whose sum is σ = 5392322208. Its totient is φ = 680866560.

The previous prime is 2261661187. The next prime is 2261661263. The reversal of 2261661246 is 6421661622.

2261661246 is a `hidden beast` number, since 2 + 26 + 16 + 612 + 4 + 6 = 666.

It is a super-2 number, since 2×2261661246² = 10230223183316545032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261661246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2837320 + ... + 2838116.

It is an arithmetic number, because the mean of its divisors is an integer number (56170023).

Almost surely, 2^2261661246 is an apocalyptic number.

2261661246 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261661246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696161104).

2261661246 is an abundant number, since it is smaller than the sum of its proper divisors (3130660962).

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

2261661246 is a wasteful number, since it uses less digits than its factorization.

2261661246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2261661246 is about 47556.9263725065. The cubic root of 2261661246 is about 1312.6305833613.

The spelling of 2261661246 in words is "two billion, two hundred sixty-one million, six hundred sixty-one thousand, two hundred forty-six".