2140597426968 has 1920 divisors, whose sum is σ = 9016557580800. Its totient is φ = 456855552000.

The previous prime is 2140597426937. The next prime is 2140597427069. The reversal of 2140597426968 is 8696247950412.

2140597426968 is a `hidden beast` number, since 2 + 14 + 0 + 597 + 4 + 26 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3561725868 + ... + 3561726468.

It is an arithmetic number, because the mean of its divisors is an integer number (4696123740).

Almost surely, 2^{2140597426968} is an apocalyptic number.

2140597426968 is a gapful number since it is divisible by the number (28) 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 2140597426968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508278790400).

2140597426968 is an abundant number, since it is smaller than the sum of its proper divisors (6875960153832).

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

2140597426968 is a wasteful number, since it uses less digits than its factorization.

2140597426968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2140597426968 in words is "two trillion, one hundred forty billion, five hundred ninety-seven million, four hundred twenty-six thousand, nine hundred sixty-eight".