2368064160 has 864 divisors, whose sum is σ = 10728873792. Its totient is φ = 487710720.

The previous prime is 2368064159. The next prime is 2368064189. The reversal of 2368064160 is 614608632.

2368064160 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 0 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 20956264 + ... + 20956376.

It is an arithmetic number, because the mean of its divisors is an integer number (12417678).

Almost surely, 2^2368064160 is an apocalyptic number.

2368064160 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 2368064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364436896).

2368064160 is an abundant number, since it is smaller than the sum of its proper divisors (8360809632).

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

2368064160 is a wasteful number, since it uses less digits than its factorization.

2368064160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2368064160 is about 48662.7594778595. The cubic root of 2368064160 is about 1332.9007785764.

The spelling of 2368064160 in words is "two billion, three hundred sixty-eight million, sixty-four thousand, one hundred sixty".