2529974664 has 72 divisors (see below), whose sum is σ = 7970722110. Its totient is φ = 722848896.

The previous prime is 2529974647. The next prime is 2529974669. The reversal of 2529974664 is 4664799252.

It can be written as a sum of positive squares in only one way, i.e., 2312648100 + 217326564 = 48090^2 + 14742^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2529974664.

It is not an unprimeable number, because it can be changed into a prime (2529974669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 355029 + ... + 362084.

Almost surely, 2^2529974664 is an apocalyptic number.

2529974664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2529974664 is an abundant number, since it is smaller than the sum of its proper divisors (5440747446).

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

2529974664 is a wasteful number, since it uses less digits than its factorization.

2529974664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717139 (or 717125 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2529974664 is about 50298.8535058206. The cubic root of 2529974664 is about 1362.6115232788.

The spelling of 2529974664 in words is "two billion, five hundred twenty-nine million, nine hundred seventy-four thousand, six hundred sixty-four".