2121856968 has 96 divisors (see below), whose sum is σ = 6663746880. Its totient is φ = 551126400.

The previous prime is 2121856967. The next prime is 2121856987. The reversal of 2121856968 is 8696581212.

It is not an unprimeable number, because it can be changed into a prime (2121856963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31863 + ... + 72518.

It is an arithmetic number, because the mean of its divisors is an integer number (69414030).

Almost surely, 2^2121856968 is an apocalyptic number.

2121856968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2121856968 is an abundant number, since it is smaller than the sum of its proper divisors (4541889912).

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

2121856968 is a wasteful number, since it uses less digits than its factorization.

2121856968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104419 (or 104404 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 2121856968 is about 46063.6187028332. The cubic root of 2121856968 is about 1285.0066299930.

The spelling of 2121856968 in words is "two billion, one hundred twenty-one million, eight hundred fifty-six thousand, nine hundred sixty-eight".