2131475889024 has 384 divisors, whose sum is σ = 6347436825600. Its totient is φ = 686192652288.

The previous prime is 2131475889017. The next prime is 2131475889047. The reversal of 2131475889024 is 4209885741312.

2131475889024 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 475 + 88 + 90 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3120754987 + ... + 3120755669.

It is an arithmetic number, because the mean of its divisors is an integer number (16529783400).

Almost surely, 2^{2131475889024} is an apocalyptic number.

2131475889024 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 2131475889024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173718412800).

2131475889024 is an abundant number, since it is smaller than the sum of its proper divisors (4215960936576).

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

2131475889024 is a wasteful number, since it uses less digits than its factorization.

2131475889024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2131475889024 in words is "two trillion, one hundred thirty-one billion, four hundred seventy-five million, eight hundred eighty-nine thousand, twenty-four".