2170337131872 has 768 divisors, whose sum is σ = 7971586560000. Its totient is φ = 570841012224.

The previous prime is 2170337131867. The next prime is 2170337131891. The reversal of 2170337131872 is 2781317330712.

2170337131872 is a `hidden beast` number, since 2 + 170 + 3 + 371 + 31 + 87 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2361628629 + ... + 2361629547.

It is an arithmetic number, because the mean of its divisors is an integer number (10379670000).

Almost surely, 2^{2170337131872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170337131872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985793280000).

2170337131872 is an abundant number, since it is smaller than the sum of its proper divisors (5801249428128).

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

2170337131872 is a wasteful number, since it uses less digits than its factorization.

2170337131872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 2170337131872 in words is "two trillion, one hundred seventy billion, three hundred thirty-seven million, one hundred thirty-one thousand, eight hundred seventy-two".