2624593920 has 448 divisors, whose sum is σ = 9512100864. Its totient is φ = 613416960.

The previous prime is 2624593919. The next prime is 2624593921. The reversal of 2624593920 is 293954262.

It is an interprime number because it is at equal distance from previous prime (2624593919) and next prime (2624593921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2624593921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49520614 + ... + 49520666.

It is an arithmetic number, because the mean of its divisors is an integer number (21232368).

Almost surely, 2^2624593920 is an apocalyptic number.

2624593920 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 2624593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756050432).

2624593920 is an abundant number, since it is smaller than the sum of its proper divisors (6887506944).

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

2624593920 is a wasteful number, since it uses less digits than its factorization.

2624593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2624593920 is about 51230.7907415062. The cubic root of 2624593920 is about 1379.3909515743.

The spelling of 2624593920 in words is "two billion, six hundred twenty-four million, five hundred ninety-three thousand, nine hundred twenty".