2293643664 has 135 divisors (see below), whose sum is σ = 6973484193. Its totient is φ = 703437696.

The previous prime is 2293643657. The next prime is 2293643683. The reversal of 2293643664 is 4663463922.

The square root of 2293643664 is 47892.

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

2293643664 is a `hidden beast` number, since 229 + 3 + 64 + 366 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339296400 + 1954347264 = 18420^2 + 44208^2 .

It is a nude number because it is divisible by every one of its digits.

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, 7470999 + ... + 7471305.

Almost surely, 2^2293643664 is an apocalyptic number.

2293643664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2293643664 is the 47892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293643664

2293643664 is an abundant number, since it is smaller than the sum of its proper divisors (4679840529).

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

2293643664 is a wasteful number, since it uses less digits than its factorization.

2293643664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 325 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The cubic root of 2293643664 is about 1318.7889995310.

The spelling of 2293643664 in words is "two billion, two hundred ninety-three million, six hundred forty-three thousand, six hundred sixty-four".