2509772160 has 512 divisors, whose sum is σ = 9674496000. Its totient is φ = 552738816.

The previous prime is 2509772087. The next prime is 2509772173. The reversal of 2509772160 is 612779052.

It is a super-2 number, since 2×2509772160² = 12597912590222131200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24366669 + ... + 24366771.

It is an arithmetic number, because the mean of its divisors is an integer number (18895500).

Almost surely, 2^2509772160 is an apocalyptic number.

2509772160 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 2509772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837248000).

2509772160 is an abundant number, since it is smaller than the sum of its proper divisors (7164723840).

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

2509772160 is a wasteful number, since it uses less digits than its factorization.

2509772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 2509772160 is about 50097.6262910729. The cubic root of 2509772160 is about 1358.9748907175.

The spelling of 2509772160 in words is "two billion, five hundred nine million, seven hundred seventy-two thousand, one hundred sixty".