2053051624 has 64 divisors (see below), whose sum is σ = 4253634000. Its totient is φ = 923166720.

The previous prime is 2053051591. The next prime is 2053051643. The reversal of 2053051624 is 4261503502.

It can be written as a sum of positive squares in 8 ways, for example, as 2592100 + 2050459524 = 1610^2 + 45282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2053051592 and 2053051601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690012 + ... + 692980.

Almost surely, 2^2053051624 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 2053051624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126817000).

2053051624 is an abundant number, since it is smaller than the sum of its proper divisors (2200582376).

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

2053051624 is a wasteful number, since it uses less digits than its factorization.

2053051624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2053051624 is about 45310.6127082828. The cubic root of 2053051624 is about 1270.9641187950.

The spelling of 2053051624 in words is "two billion, fifty-three million, fifty-one thousand, six hundred twenty-four".