2357664640 has 128 divisors (see below), whose sum is σ = 5784942240. Its totient is φ = 918528000.

The previous prime is 2357664613. The next prime is 2357664653. The reversal of 2357664640 is 464667532.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5114010 + ... + 5114470.

Almost surely, 2^2357664640 is an apocalyptic number.

2357664640 is a gapful number since it is divisible by the number (20) 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 2357664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892471120).

2357664640 is an abundant number, since it is smaller than the sum of its proper divisors (3427277600).

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

2357664640 is a wasteful number, since it uses less digits than its factorization.

2357664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The square root of 2357664640 is about 48555.7889442649. The cubic root of 2357664640 is about 1330.9467395653.

The spelling of 2357664640 in words is "two billion, three hundred fifty-seven million, six hundred sixty-four thousand, six hundred forty".