2142586518720 has 112 divisors (see below), whose sum is σ = 6803495407968. Its totient is φ = 571290624000.

The previous prime is 2142586518689. The next prime is 2142586518769. The reversal of 2142586518720 is 278156852412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8516982 + ... + 8764938.

It is an arithmetic number, because the mean of its divisors is an integer number (60745494714).

Almost surely, 2^{2142586518720} is an apocalyptic number.

2142586518720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142586518720 is an abundant number, since it is smaller than the sum of its proper divisors (4660908889248).

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

2142586518720 is a wasteful number, since it uses less digits than its factorization.

2142586518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256978 (or 256968 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 2142586518720 in words is "two trillion, one hundred forty-two billion, five hundred eighty-six million, five hundred eighteen thousand, seven hundred twenty".