2624129664 has 192 divisors, whose sum is σ = 7770661920. Its totient is φ = 779950080.

The previous prime is 2624129657. The next prime is 2624129671. The reversal of 2624129664 is 4669214262.

It is an interprime number because it is at equal distance from previous prime (2624129657) and next prime (2624129671).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4797039 + ... + 4797585.

Almost surely, 2^2624129664 is an apocalyptic number.

2624129664 is a gapful number since it is divisible by the number (24) 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 2624129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885330960).

2624129664 is an abundant number, since it is smaller than the sum of its proper divisors (5146532256).

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

2624129664 is a wasteful number, since it uses less digits than its factorization.

2624129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 596 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 2624129664 is about 51226.2595159943. The cubic root of 2624129664 is about 1379.3096147647.

The spelling of 2624129664 in words is "two billion, six hundred twenty-four million, one hundred twenty-nine thousand, six hundred sixty-four".