2529612864 has 168 divisors, whose sum is σ = 7664866560. Its totient is φ = 796004352.

The previous prime is 2529612859. The next prime is 2529612919. The reversal of 2529612864 is 4682169252.

2529612864 is a `hidden beast` number, since 2 + 5 + 29 + 612 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045384 + ... + 1047800.

Almost surely, 2^2529612864 is an apocalyptic number.

2529612864 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 2529612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832433280).

2529612864 is an abundant number, since it is smaller than the sum of its proper divisors (5135253696).

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

2529612864 is a wasteful number, since it uses less digits than its factorization.

2529612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2524 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2529612864 is about 50295.2568737848. The cubic root of 2529612864 is about 1362.5465665873.

The spelling of 2529612864 in words is "two billion, five hundred twenty-nine million, six hundred twelve thousand, eight hundred sixty-four".