2113057024 has 135 divisors (see below), whose sum is σ = 4853931257. Its totient is φ = 917889024.

The previous prime is 2113056997. The next prime is 2113057027. The reversal of 2113057024 is 4207503112.

It is a happy number.

The square root of 2113057024 is 45968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1928966400 + 184090624 = 43920^2 + 13568^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2113057024.

It is not an unprimeable number, because it can be changed into a prime (2113057027) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 124297464 + ... + 124297480.

Almost surely, 2^2113057024 is an apocalyptic number.

2113057024 is the 45968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113057024

2113057024 is an abundant number, since it is smaller than the sum of its proper divisors (2740874233).

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

2113057024 is an frugal number, since it uses more digits than its factorization.

2113057024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The cubic root of 2113057024 is about 1283.2277392776.

Multiplying 2113057024 by its sum of digits (25), we get a square (52826425600 = 229840²).

The spelling of 2113057024 in words is "two billion, one hundred thirteen million, fifty-seven thousand, twenty-four".