2131755747840 has 240 divisors, whose sum is σ = 7439238027936. Its totient is φ = 564127948800.

The previous prime is 2131755747811. The next prime is 2131755747907. The reversal of 2131755747840 is 487475571312.

2131755747840 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 7 + 557 + 4 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2665095 + ... + 3371385.

Almost surely, 2^{2131755747840} is an apocalyptic number.

2131755747840 is a gapful number since it is divisible by the number (20) 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 2131755747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719619013968).

2131755747840 is an abundant number, since it is smaller than the sum of its proper divisors (5307482280096).

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

2131755747840 is a wasteful number, since it uses less digits than its factorization.

2131755747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706451 (or 706432 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 2131755747840 in words is "two trillion, one hundred thirty-one billion, seven hundred fifty-five million, seven hundred forty-seven thousand, eight hundred forty".