2121917952 has 360 divisors, whose sum is σ = 7259019768. Its totient is φ = 548782080.

The previous prime is 2121917909. The next prime is 2121917981. The reversal of 2121917952 is 2597191212.

2121917952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2121917952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9106828 + ... + 9107060.

Almost surely, 2^2121917952 is an apocalyptic number.

2121917952 is a gapful number since it is divisible by the number (22) 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 2121917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629509884).

2121917952 is an abundant number, since it is smaller than the sum of its proper divisors (5137101816).

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

2121917952 is a wasteful number, since it uses less digits than its factorization.

2121917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its digits is 22680, while the sum is 39.

The square root of 2121917952 is about 46064.2806521496. The cubic root of 2121917952 is about 1285.0189406081.

The spelling of 2121917952 in words is "two billion, one hundred twenty-one million, nine hundred seventeen thousand, nine hundred fifty-two".