2507488976160 has 1536 divisors, whose sum is σ = 10622339481600. Its totient is φ = 540569272320.

The previous prime is 2507488976149. The next prime is 2507488976189. The reversal of 2507488976160 is 616798847052.

2507488976160 is a `hidden beast` number, since 2 + 5 + 0 + 7 + 4 + 8 + 8 + 9 + 7 + 616 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5439238330 + ... + 5439238790.

It is an arithmetic number, because the mean of its divisors is an integer number (6915585600).

Almost surely, 2^{2507488976160} is an apocalyptic number.

2507488976160 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 2507488976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311169740800).

2507488976160 is an abundant number, since it is smaller than the sum of its proper divisors (8114850505440).

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

2507488976160 is a wasteful number, since it uses less digits than its factorization.

2507488976160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2507488976160 in words is "two trillion, five hundred seven billion, four hundred eighty-eight million, nine hundred seventy-six thousand, one hundred sixty".