2157534734880 has 288 divisors, whose sum is σ = 7917628932864. Its totient is φ = 492414418944.

The previous prime is 2157534734869. The next prime is 2157534734909. The reversal of 2157534734880 is 884374357512.

It is a happy number.

It is a super-2 number, since 2×2157534734880² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2157534734880.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15760809 + ... + 15897111.

It is an arithmetic number, because the mean of its divisors is an integer number (27491767128).

Almost surely, 2^{2157534734880} is an apocalyptic number.

2157534734880 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 2157534734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958814466432).

2157534734880 is an abundant number, since it is smaller than the sum of its proper divisors (5760094197984).

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

2157534734880 is a wasteful number, since it uses less digits than its factorization.

2157534734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137008 (or 136993 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 2157534734880 in words is "two trillion, one hundred fifty-seven billion, five hundred thirty-four million, seven hundred thirty-four thousand, eight hundred eighty".