2171607916590 has 144 divisors (see below), whose sum is σ = 6573087295632. Its totient is φ = 495983513088.

The previous prime is 2171607916589. The next prime is 2171607916609. The reversal of 2171607916590 is 956197061712.

2171607916590 is a `hidden beast` number, since 2 + 17 + 1 + 607 + 9 + 16 + 5 + 9 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5529937 + ... + 5909603.

It is an arithmetic number, because the mean of its divisors is an integer number (45646439553).

Almost surely, 2^{2171607916590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171607916590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286543647816).

2171607916590 is an abundant number, since it is smaller than the sum of its proper divisors (4401479379042).

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

2171607916590 is a wasteful number, since it uses less digits than its factorization.

2171607916590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380991 (or 380981 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 2171607916590 in words is "two trillion, one hundred seventy-one billion, six hundred seven million, nine hundred sixteen thousand, five hundred ninety".