2492584179264 has 189 divisors, whose sum is σ = 7207540661217. Its totient is φ = 823598949888.

The previous prime is 2492584179203. The next prime is 2492584179331. The reversal of 2492584179264 is 4629714852942.

It is a happy number.

The square root of 2492584179264 is 1578792.

It is a perfect power (a square), and thus also a powerful number.

2492584179264 is a `hidden beast` number, since 2 + 49 + 2 + 584 + 1 + 7 + 9 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 730614657600 + 1761969521664 = 854760^2 + 1327392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5948888047 + ... + 5948888465.

Almost surely, 2^{2492584179264} is an apocalyptic number.

2492584179264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2492584179264 is the 1578792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492584179264

2492584179264 is an abundant number, since it is smaller than the sum of its proper divisors (4714956481953).

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

2492584179264 is an frugal number, since it uses more digits than its factorization.

2492584179264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 581 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 2492584179264 in words is "two trillion, four hundred ninety-two billion, five hundred eighty-four million, one hundred seventy-nine thousand, two hundred sixty-four".