2772940996225 has 27 divisors (see below), whose sum is σ = 3524790796489. Its totient is φ = 2163980196800.

The previous prime is 2772940996187. The next prime is 2772940996261. The reversal of 2772940996225 is 5226990492772.

The square root of 2772940996225 is 1665215.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1167175568881 + 1605765427344 = 1080359^2 + 1267188^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2772940996225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341365014 + ... + 341373136.

Almost surely, 2^{2772940996225} is an apocalyptic number.

2772940996225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2772940996225 is the 1665215-th square number.

2772940996225 is the 832608-th centered octagonal number.

It is an amenable number.

2772940996225 is a deficient number, since it is larger than the sum of its proper divisors (751849800264).

2772940996225 is an frugal number, since it uses more digits than its factorization.

2772940996225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16338 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

Multiplying 2772940996225 by its sum of digits (64), we get a square (177468223758400 = 13321720²).

The spelling of 2772940996225 in words is "two trillion, seven hundred seventy-two billion, nine hundred forty million, nine hundred ninety-six thousand, two hundred twenty-five".