2710764225 has 135 divisors (see below), whose sum is σ = 5499014763. Its totient is φ = 1319535360.

The previous prime is 2710764193. The next prime is 2710764227. The reversal of 2710764225 is 5224670172.

It is a happy number.

The square root of 2710764225 is 52065.

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

2710764225 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 7 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2693921409 + 16842816 = 51903^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2710764225 - 2⁵ = 2710764193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2710764225.

It is not an unprimeable number, because it can be changed into a prime (2710764227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30457981 + ... + 30458069.

Almost surely, 2^2710764225 is an apocalyptic number.

2710764225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2710764225 is the 52065-th square number.

2710764225 is the 26033-rd centered octagonal number.

It is an amenable number.

2710764225 is an abundant number, since it is smaller than the sum of its proper divisors (2788250538).

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

2710764225 is an equidigital number, since it uses as much as digits as its factorization.

2710764225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The cubic root of 2710764225 is about 1394.3246818034.

Multiplying 2710764225 by its sum of digits (36), we get a square (97587512100 = 312390²).

The spelling of 2710764225 in words is "two billion, seven hundred ten million, seven hundred sixty-four thousand, two hundred twenty-five".