2120828640 has 384 divisors, whose sum is σ = 8128512000. Its totient is φ = 454035456.

The previous prime is 2120828627. The next prime is 2120828687. The reversal of 2120828640 is 468280212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8873641 + ... + 8873879.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2^2120828640 is an apocalyptic number.

2120828640 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 2120828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000).

2120828640 is an abundant number, since it is smaller than the sum of its proper divisors (6007683360).

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

2120828640 is a wasteful number, since it uses less digits than its factorization.

2120828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2120828640 is about 46052.4553091363. The cubic root of 2120828640 is about 1284.7990096801.

The spelling of 2120828640 in words is "two billion, one hundred twenty million, eight hundred twenty-eight thousand, six hundred forty".