2120825344 has 120 divisors (see below), whose sum is σ = 4914426528. Its totient is φ = 906608640.

The previous prime is 2120825281. The next prime is 2120825347. The reversal of 2120825344 is 4435280212.

It is not an unprimeable number, because it can be changed into a prime (2120825347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626997 + ... + 1628299.

Almost surely, 2^2120825344 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 2120825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457213264).

2120825344 is an abundant number, since it is smaller than the sum of its proper divisors (2793601184).

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

2120825344 is a wasteful number, since it uses less digits than its factorization.

2120825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2120825344 is about 46052.4195238426. The cubic root of 2120825344 is about 1284.7983441070.

The spelling of 2120825344 in words is "two billion, one hundred twenty million, eight hundred twenty-five thousand, three hundred forty-four".