2662972816 has 135 divisors (see below), whose sum is σ = 6400369089. Its totient is φ = 1070060544.

The previous prime is 2662972799. The next prime is 2662972841. The reversal of 2662972816 is 6182792662.

The square root of 2662972816 is 51604.

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

It can be written as a sum of positive squares in only one way, i.e., 1195776400 + 1467196416 = 34580^2 + 38304^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2662972816.

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, 27453280 + ... + 27453376.

Almost surely, 2^2662972816 is an apocalyptic number.

2662972816 is the 51604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2662972816

2662972816 is an abundant number, since it is smaller than the sum of its proper divisors (3737396273).

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

2662972816 is an equidigital number, since it uses as much as digits as its factorization.

2662972816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The cubic root of 2662972816 is about 1386.0819595787.

Multiplying 2662972816 by its sum of digits (49), we get a square (130485667984 = 361228²).

2662972816 divided by its sum of digits (49) gives a square (54346384 = 7372²).

The spelling of 2662972816 in words is "two billion, six hundred sixty-two million, nine hundred seventy-two thousand, eight hundred sixteen".