2496868320 has 96 divisors (see below), whose sum is σ = 7941652992. Its totient is φ = 659354112.

The previous prime is 2496868313. The next prime is 2496868321. The reversal of 2496868320 is 238686942.

2496868320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2496868320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496868321) 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, 24189 + ... + 74691.

It is an arithmetic number, because the mean of its divisors is an integer number (82725552).

Almost surely, 2^2496868320 is an apocalyptic number.

2496868320 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 2496868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970826496).

2496868320 is an abundant number, since it is smaller than the sum of its proper divisors (5444784672).

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

2496868320 is a wasteful number, since it uses less digits than its factorization.

2496868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50624 (or 50616 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2496868320 is about 49968.6733864328. The cubic root of 2496868320 is about 1356.6418590069.

The spelling of 2496868320 in words is "two billion, four hundred ninety-six million, eight hundred sixty-eight thousand, three hundred twenty".