2252431665 has 128 divisors (see below), whose sum is σ = 4651315200. Its totient is φ = 1022699520.

The previous prime is 2252431663. The next prime is 2252431667. The reversal of 2252431665 is 5661342522.

2252431665 = 3648² + 3649² + ... + 3809².

It is an interprime number because it is at equal distance from previous prime (2252431663) and next prime (2252431667).

It is not a de Polignac number, because 2252431665 - 2¹ = 2252431663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2252431663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2736444 + ... + 2737266.

It is an arithmetic number, because the mean of its divisors is an integer number (36338400).

Almost surely, 2^2252431665 is an apocalyptic number.

It is an amenable number.

2252431665 is an abundant number, since it is smaller than the sum of its proper divisors (2398883535).

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

2252431665 is a wasteful number, since it uses less digits than its factorization.

2252431665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

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

The square root of 2252431665 is about 47459.7899805720. The cubic root of 2252431665 is about 1310.8425838254.

The spelling of 2252431665 in words is "two billion, two hundred fifty-two million, four hundred thirty-one thousand, six hundred sixty-five".