2121607560 has 64 divisors (see below), whose sum is σ = 6369422400. Its totient is φ = 565353216.

The previous prime is 2121607559. The next prime is 2121607577. The reversal of 2121607560 is 657061212.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 183882 + ... + 195078.

It is an arithmetic number, because the mean of its divisors is an integer number (99522225).

Almost surely, 2^2121607560 is an apocalyptic number.

2121607560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121607560 is an abundant number, since it is smaller than the sum of its proper divisors (4247814840).

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

2121607560 is a wasteful number, since it uses less digits than its factorization.

2121607560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12790 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2121607560 is about 46060.9114108698. The cubic root of 2121607560 is about 1284.9562804648.

Adding to 2121607560 its reverse (657061212), we get a palindrome (2778668772).

The spelling of 2121607560 in words is "two billion, one hundred twenty-one million, six hundred seven thousand, five hundred sixty".