2121710976 has 768 divisors, whose sum is σ = 8539603200. Its totient is φ = 510935040.

The previous prime is 2121710933. The next prime is 2121711001. The reversal of 2121710976 is 6790171212.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121710976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31667295 + ... + 31667361.

It is an arithmetic number, because the mean of its divisors is an integer number (11119275).

Almost surely, 2^2121710976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121710976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269801600).

2121710976 is an abundant number, since it is smaller than the sum of its proper divisors (6417892224).

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

2121710976 is a wasteful number, since it uses less digits than its factorization.

2121710976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 2121710976 is about 46062.0339976428. The cubic root of 2121710976 is about 1284.9771581682.

The spelling of 2121710976 in words is "two billion, one hundred twenty-one million, seven hundred ten thousand, nine hundred seventy-six".