2624039964 has 432 divisors, whose sum is σ = 9034841088. Its totient is φ = 634023936.

The previous prime is 2624039941. The next prime is 2624039983. The reversal of 2624039964 is 4699304262.

2624039964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20661669 + ... + 20661795.

It is an arithmetic number, because the mean of its divisors is an integer number (20913984).

Almost surely, 2^2624039964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2624039964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517420544).

2624039964 is an abundant number, since it is smaller than the sum of its proper divisors (6410801124).

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

2624039964 is a wasteful number, since it uses less digits than its factorization.

2624039964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2624039964 is about 51225.3839809913. The cubic root of 2624039964 is about 1379.2938983815.

The spelling of 2624039964 in words is "two billion, six hundred twenty-four million, thirty-nine thousand, nine hundred sixty-four".