2508784256160 has 1152 divisors, whose sum is σ = 11744104619520. Its totient is φ = 471960649728.

The previous prime is 2508784256123. The next prime is 2508784256161. The reversal of 2508784256160 is 616524878052.

2508784256160 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 78 + 4 + 2 + 561 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2508784256097 and 2508784256106.

It is not an unprimeable number, because it can be changed into a prime (2508784256161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42296284 + ... + 42355556.

It is an arithmetic number, because the mean of its divisors is an integer number (10194535260).

Almost surely, 2^{2508784256160} is an apocalyptic number.

2508784256160 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 2508784256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872052309760).

2508784256160 is an abundant number, since it is smaller than the sum of its proper divisors (9235320363360).

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

2508784256160 is a wasteful number, since it uses less digits than its factorization.

2508784256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59350 (or 59339 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2508784256160 in words is "two trillion, five hundred eight billion, seven hundred eighty-four million, two hundred fifty-six thousand, one hundred sixty".