2257326864 has 120 divisors (see below), whose sum is σ = 6838984152. Its totient is φ = 690923520.

The previous prime is 2257326833. The next prime is 2257326917. The reversal of 2257326864 is 4686237522.

It can be written as a sum of positive squares in 4 ways, for example, as 195440400 + 2061886464 = 13980^2 + 45408^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365724 + ... + 371844.

Almost surely, 2^2257326864 is an apocalyptic number.

2257326864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257326864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419492076).

2257326864 is an abundant number, since it is smaller than the sum of its proper divisors (4581657288).

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

2257326864 is a wasteful number, since it uses less digits than its factorization.

2257326864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6336 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2257326864 is about 47511.3340583066. The cubic root of 2257326864 is about 1311.7915127023.

The spelling of 2257326864 in words is "two billion, two hundred fifty-seven million, three hundred twenty-six thousand, eight hundred sixty-four".