2121456960 has 336 divisors, whose sum is σ = 8707648320. Its totient is φ = 484807680.

The previous prime is 2121456959. The next prime is 2121456983. The reversal of 2121456960 is 696541212.

2121456960 is a `hidden beast` number, since 21 + 2 + 14 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 420855 + ... + 425865.

It is an arithmetic number, because the mean of its divisors is an integer number (25915620).

Almost surely, 2^2121456960 is an apocalyptic number.

2121456960 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 2121456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353824160).

2121456960 is an abundant number, since it is smaller than the sum of its proper divisors (6586191360).

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

2121456960 is a wasteful number, since it uses less digits than its factorization.

2121456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2121456960 is about 46059.2765900638. The cubic root of 2121456960 is about 1284.9258760051.

The spelling of 2121456960 in words is "two billion, one hundred twenty-one million, four hundred fifty-six thousand, nine hundred sixty".