2140187971584 has 832 divisors, whose sum is σ = 6628472782848. Its totient is φ = 609406156800.

The previous prime is 2140187971577. The next prime is 2140187971637. The reversal of 2140187971584 is 4851797810412.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16851873729 + ... + 16851873855.

Almost surely, 2^{2140187971584} is an apocalyptic number.

2140187971584 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 2140187971584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314236391424).

2140187971584 is an abundant number, since it is smaller than the sum of its proper divisors (4488284811264).

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

2140187971584 is a wasteful number, since it uses less digits than its factorization.

2140187971584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 2140187971584 in words is "two trillion, one hundred forty billion, one hundred eighty-seven million, nine hundred seventy-one thousand, five hundred eighty-four".