2640315456 has 63 divisors (see below), whose sum is σ = 7571523973. Its totient is φ = 879694080.

The previous prime is 2640315443. The next prime is 2640315467. The reversal of 2640315456 is 6545130462.

The square root of 2640315456 is 51384.

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

2640315456 is a `hidden beast` number, since 2 + 640 + 3 + 1 + 5 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2518433856 + 121881600 = 50184^2 + 11040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2640315456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1232146 + ... + 1234286.

Almost surely, 2^2640315456 is an apocalyptic number.

2640315456 is the 51384-th square number.

It is an amenable number.

2640315456 is an abundant number, since it is smaller than the sum of its proper divisors (4931208517).

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

2640315456 is an frugal number, since it uses more digits than its factorization.

2640315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 2640315456 is about 1382.1396926600.

Multiplying 2640315456 by its sum of digits (36), we get a square (95051356416 = 308304²).

2640315456 divided by its sum of digits (36) gives a square (73342096 = 8564²).

It can be divided in two parts, 2640 and 315456, that added together give a square (318096 = 564²).

The spelling of 2640315456 in words is "two billion, six hundred forty million, three hundred fifteen thousand, four hundred fifty-six".