2639493376 has 135 divisors (see below), whose sum is σ = 6023934231. Its totient is φ = 1154110464.

The previous prime is 2639493349. The next prime is 2639493391. The reversal of 2639493376 is 6733949362.

The square root of 2639493376 is 51376.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1308702976 + 1330790400 = 36176^2 + 36480^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 138920695 + ... + 138920713.

Almost surely, 2^2639493376 is an apocalyptic number.

2639493376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2639493376 is the 51376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2639493376

2639493376 is an abundant number, since it is smaller than the sum of its proper divisors (3384440855).

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

2639493376 is an frugal number, since it uses more digits than its factorization.

2639493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 34 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 52.

The cubic root of 2639493376 is about 1381.9962316024.

The spelling of 2639493376 in words is "two billion, six hundred thirty-nine million, four hundred ninety-three thousand, three hundred seventy-six".