2053121824 has 48 divisors (see below), whose sum is σ = 4609088568. Its totient is φ = 891850752.

The previous prime is 2053121801. The next prime is 2053121831. The reversal of 2053121824 is 4281213502.

It can be written as a sum of positive squares in 4 ways, for example, as 1206311824 + 846810000 = 34732^2 + 29100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2053121792 and 2053121801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138087 + ... + 152230.

Almost surely, 2^2053121824 is an apocalyptic number.

It is an amenable number.

2053121824 is an abundant number, since it is smaller than the sum of its proper divisors (2555966744).

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

2053121824 is a wasteful number, since it uses less digits than its factorization.

2053121824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290357 (or 290349 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2053121824 is about 45311.3873546154. The cubic root of 2053121824 is about 1270.9786046565.

The spelling of 2053121824 in words is "two billion, fifty-three million, one hundred twenty-one thousand, eight hundred twenty-four".