2497965120 has 504 divisors, whose sum is σ = 10335207168. Its totient is φ = 551577600.

The previous prime is 2497965077. The next prime is 2497965121. The reversal of 2497965120 is 215697942.

2497965120 is a `hidden beast` number, since 2 + 49 + 7 + 96 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2497965120² = 12479659481473228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2497965121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4374435 + ... + 4375005.

Almost surely, 2^2497965120 is an apocalyptic number.

2497965120 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 2497965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167603584).

2497965120 is an abundant number, since it is smaller than the sum of its proper divisors (7837242048).

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

2497965120 is a wasteful number, since it uses less digits than its factorization.

2497965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2497965120 is about 49979.6470575773. The cubic root of 2497965120 is about 1356.8404740693.

The spelling of 2497965120 in words is "two billion, four hundred ninety-seven million, nine hundred sixty-five thousand, one hundred twenty".