2500971520 has 176 divisors, whose sum is σ = 6461314560. Its totient is φ = 925876224.

The previous prime is 2500971497. The next prime is 2500971523. The reversal of 2500971520 is 251790052.

It is a super-2 number, since 2×2500971520² = 12509717087702220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2500971523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4571887 + ... + 4572433.

Almost surely, 2^2500971520 is an apocalyptic number.

2500971520 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 2500971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230657280).

2500971520 is an abundant number, since it is smaller than the sum of its proper divisors (3960343040).

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

2500971520 is a wasteful number, since it uses less digits than its factorization.

2500971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 2500971520 is about 50009.7142563322. The cubic root of 2500971520 is about 1357.3845929292.

The spelling of 2500971520 in words is "two billion, five hundred million, nine hundred seventy-one thousand, five hundred twenty".