2568170420640 has 144 divisors (see below), whose sum is σ = 9560598124896. Its totient is φ = 622586764800.

The previous prime is 2568170420591. The next prime is 2568170420671. The reversal of 2568170420640 is 460240718652.

2568170420640 is a `hidden beast` number, since 2 + 56 + 8 + 170 + 420 + 6 + 4 + 0 = 666.

2568170420640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81050146 + ... + 81081825.

It is an arithmetic number, because the mean of its divisors is an integer number (66393042534).

Almost surely, 2^{2568170420640} is an apocalyptic number.

2568170420640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2568170420640 is an abundant number, since it is smaller than the sum of its proper divisors (6992427704256).

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

2568170420640 is a wasteful number, since it uses less digits than its factorization.

2568170420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162132003 (or 162131992 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2568170420640 in words is "two trillion, five hundred sixty-eight billion, one hundred seventy million, four hundred twenty thousand, six hundred forty".