2529656064 has 108 divisors (see below), whose sum is σ = 7854762916. Its totient is φ = 778346496.

The previous prime is 2529656053. The next prime is 2529656123. The reversal of 2529656064 is 4606569252.

It is a happy number.

2529656064 is a `hidden beast` number, since 2 + 5 + 29 + 6 + 560 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 961496064 + 1568160000 = 31008^2 + 39600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12277 + ... + 72180.

Almost surely, 2^2529656064 is an apocalyptic number.

2529656064 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 2529656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927381458).

2529656064 is an abundant number, since it is smaller than the sum of its proper divisors (5325106852).

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

2529656064 is a wasteful number, since it uses less digits than its factorization.

2529656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84492 (or 84475 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2529656064 is about 50295.6863359076. The cubic root of 2529656064 is about 1362.5543229358.

The spelling of 2529656064 in words is "two billion, five hundred twenty-nine million, six hundred fifty-six thousand, sixty-four".