2242580400 has 180 divisors, whose sum is σ = 7840906632. Its totient is φ = 593525760.

The previous prime is 2242580399. The next prime is 2242580401. The reversal of 2242580400 is 40852422.

It is a happy number.

2242580400 is a `hidden beast` number, since 2 + 2 + 4 + 258 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2242580399) and next prime (2242580401).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2242580401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490927 + ... + 495473.

Almost surely, 2^2242580400 is an apocalyptic number.

2242580400 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 2242580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920453316).

2242580400 is an abundant number, since it is smaller than the sum of its proper divisors (5598326232).

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

2242580400 is a wasteful number, since it uses less digits than its factorization.

2242580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2242580400 is about 47355.8908690355. The cubic root of 2242580400 is about 1308.9287514842.

The spelling of 2242580400 in words is "two billion, two hundred forty-two million, five hundred eighty thousand, four hundred".