2121313960 has 32 divisors (see below), whose sum is σ = 4789967400. Its totient is φ = 845501440.

The previous prime is 2121313939. The next prime is 2121313981. The reversal of 2121313960 is 693131212.

It is an interprime number because it is at equal distance from previous prime (2121313939) and next prime (2121313981).

It can be written as a sum of positive squares in 4 ways, for example, as 2063158084 + 58155876 = 45422^2 + 7626^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83125 + ... + 105604.

Almost surely, 2^2121313960 is an apocalyptic number.

2121313960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121313960 is an abundant number, since it is smaller than the sum of its proper divisors (2668653440).

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

2121313960 is a wasteful number, since it uses less digits than its factorization.

2121313960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189021 (or 189017 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2121313960 is about 46057.7242164656. The cubic root of 2121313960 is about 1284.8970045687.

The spelling of 2121313960 in words is "two billion, one hundred twenty-one million, three hundred thirteen thousand, nine hundred sixty".