2357585664 has 144 divisors (see below), whose sum is σ = 7548737280. Its totient is φ = 638115840.

The previous prime is 2357585621. The next prime is 2357585717. The reversal of 2357585664 is 4665857532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90604 + ... + 113684.

Almost surely, 2^2357585664 is an apocalyptic number.

2357585664 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 2357585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774368640).

2357585664 is an abundant number, since it is smaller than the sum of its proper divisors (5191151616).

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

2357585664 is a wasteful number, since it uses less digits than its factorization.

2357585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23126 (or 23112 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The square root of 2357585664 is about 48554.9756873588. The cubic root of 2357585664 is about 1330.9318782457.

The spelling of 2357585664 in words is "two billion, three hundred fifty-seven million, five hundred eighty-five thousand, six hundred sixty-four".