2053138944 has 80 divisors (see below), whose sum is σ = 5507013600. Its totient is φ = 679710720.

The previous prime is 2053138937. The next prime is 2053138973. The reversal of 2053138944 is 4498313502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224379 + ... + 233349.

It is an arithmetic number, because the mean of its divisors is an integer number (68837670).

Almost surely, 2^2053138944 is an apocalyptic number.

2053138944 is a gapful number since it is divisible by the number (24) 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 2053138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753506800).

2053138944 is an abundant number, since it is smaller than the sum of its proper divisors (3453874656).

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

2053138944 is an equidigital number, since it uses as much as digits as its factorization.

2053138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2053138944 is about 45311.5762692052. The cubic root of 2053138944 is about 1270.9821373407.

The spelling of 2053138944 in words is "two billion, fifty-three million, one hundred thirty-eight thousand, nine hundred forty-four".