2170231971264 has 1344 divisors, whose sum is σ = 8243820748800. Its totient is φ = 531372441600.

The previous prime is 2170231971241. The next prime is 2170231971277. The reversal of 2170231971264 is 4621791320712.

2170231971264 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 2 + 319 + 71 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2526462867 + ... + 2526463725.

It is an arithmetic number, because the mean of its divisors is an integer number (6133795200).

Almost surely, 2^{2170231971264} is an apocalyptic number.

2170231971264 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 2170231971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121910374400).

2170231971264 is an abundant number, since it is smaller than the sum of its proper divisors (6073588777536).

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

2170231971264 is a wasteful number, since it uses less digits than its factorization.

2170231971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2170231971264 in words is "two trillion, one hundred seventy billion, two hundred thirty-one million, nine hundred seventy-one thousand, two hundred sixty-four".