2140157787984 has 360 divisors, whose sum is σ = 6399041393472. Its totient is φ = 667492531200.

The previous prime is 2140157787959. The next prime is 2140157787997. The reversal of 2140157787984 is 4897877510412.

2140157787984 is a `hidden beast` number, since 2 + 1 + 401 + 5 + 77 + 87 + 9 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 770671204 + ... + 770673980.

Almost surely, 2^{2140157787984} is an apocalyptic number.

2140157787984 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 2140157787984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199520696736).

2140157787984 is an abundant number, since it is smaller than the sum of its proper divisors (4258883605488).

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

2140157787984 is a wasteful number, since it uses less digits than its factorization.

2140157787984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 2140157787984 in words is "two trillion, one hundred forty billion, one hundred fifty-seven million, seven hundred eighty-seven thousand, nine hundred eighty-four".