2120993628 has 96 divisors (see below), whose sum is σ = 5463714816. Its totient is φ = 636310272.

The previous prime is 2120993597. The next prime is 2120993639. The reversal of 2120993628 is 8263990212.

It is a super-2 number, since 2×2120993628² = 8997227940033204768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2120993628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3247750 + ... + 3248402.

It is an arithmetic number, because the mean of its divisors is an integer number (56913696).

Almost surely, 2^2120993628 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 2120993628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731857408).

2120993628 is an abundant number, since it is smaller than the sum of its proper divisors (3342721188).

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

2120993628 is a wasteful number, since it uses less digits than its factorization.

2120993628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2120993628 is about 46054.2465794415. The cubic root of 2120993628 is about 1284.8323254195.

The spelling of 2120993628 in words is "two billion, one hundred twenty million, nine hundred ninety-three thousand, six hundred twenty-eight".