2357505864 has 256 divisors, whose sum is σ = 7948800000. Its totient is φ = 632406528.

The previous prime is 2357505851. The next prime is 2357505907. The reversal of 2357505864 is 4685057532.

2357505864 is a `hidden beast` number, since 23 + 575 + 0 + 58 + 6 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3935437 + ... + 3936035.

It is an arithmetic number, because the mean of its divisors is an integer number (31050000).

Almost surely, 2^2357505864 is an apocalyptic number.

2357505864 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 2357505864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974400000).

2357505864 is an abundant number, since it is smaller than the sum of its proper divisors (5591294136).

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

2357505864 is a wasteful number, since it uses less digits than its factorization.

2357505864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2357505864 is about 48554.1539314609. The cubic root of 2357505864 is about 1330.9168615327.

The spelling of 2357505864 in words is "two billion, three hundred fifty-seven million, five hundred five thousand, eight hundred sixty-four".