2251664255 has 64 divisors (see below), whose sum is σ = 3060288000. Its totient is φ = 1583027712.

The previous prime is 2251664221. The next prime is 2251664321. The reversal of 2251664255 is 5524661522.

2251664255 = 3021² + 3022² + ... + 3249².

It is a happy number.

It is not a de Polignac number, because 2251664255 - 2¹⁶ = 2251598719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9832481 + ... + 9832709.

It is an arithmetic number, because the mean of its divisors is an integer number (47817000).

Almost surely, 2^2251664255 is an apocalyptic number.

2251664255 is a deficient number, since it is larger than the sum of its proper divisors (808623745).

2251664255 is a wasteful number, since it uses less digits than its factorization.

2251664255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its digits is 144000, while the sum is 38.

The square root of 2251664255 is about 47451.7044477856. The cubic root of 2251664255 is about 1310.6936976256.

The spelling of 2251664255 in words is "two billion, two hundred fifty-one million, six hundred sixty-four thousand, two hundred fifty-five".