2253970576 has 135 divisors (see below), whose sum is σ = 5261191257. Its totient is φ = 934327680.

The previous prime is 2253970553. The next prime is 2253970601. The reversal of 2253970576 is 6750793522.

The square root of 2253970576 is 47476.

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., 333427600 + 1920542976 = 18260^2 + 43824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27156231 + ... + 27156313.

Almost surely, 2^2253970576 is an apocalyptic number.

2253970576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2253970576 is the 47476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253970576

2253970576 is an abundant number, since it is smaller than the sum of its proper divisors (3007220681).

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

2253970576 is a wasteful number, since it uses less digits than its factorization.

2253970576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 46.

The cubic root of 2253970576 is about 1311.1410480530.

The spelling of 2253970576 in words is "two billion, two hundred fifty-three million, nine hundred seventy thousand, five hundred seventy-six".