2504829264 has 80 divisors (see below), whose sum is σ = 7633797120. Its totient is φ = 692576640.

The previous prime is 2504829263. The next prime is 2504829289. The reversal of 2504829264 is 4629284052.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504829263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109824 + ... + 130655.

It is an arithmetic number, because the mean of its divisors is an integer number (95422464).

Almost surely, 2^2504829264 is an apocalyptic number.

2504829264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2504829264 is an abundant number, since it is smaller than the sum of its proper divisors (5128967856).

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

2504829264 is a wasteful number, since it uses less digits than its factorization.

2504829264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240528 (or 240522 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2504829264 is about 50048.2693407075. The cubic root of 2504829264 is about 1358.0821554739.

The spelling of 2504829264 in words is "two billion, five hundred four million, eight hundred twenty-nine thousand, two hundred sixty-four".