2131027264176 has 160 divisors (see below), whose sum is σ = 5929555484160. Its totient is φ = 657823795200.

The previous prime is 2131027264117. The next prime is 2131027264181. The reversal of 2131027264176 is 6714627201312.

It is a super-2 number, since 2×2131027264176² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5749890 + ... + 6109278.

It is an arithmetic number, because the mean of its divisors is an integer number (37059721776).

Almost surely, 2^{2131027264176} 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 2131027264176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964777742080).

2131027264176 is an abundant number, since it is smaller than the sum of its proper divisors (3798528219984).

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

2131027264176 is a wasteful number, since it uses less digits than its factorization.

2131027264176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359595 (or 359589 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 2131027264176 in words is "two trillion, one hundred thirty-one billion, twenty-seven million, two hundred sixty-four thousand, one hundred seventy-six".