2053556800 has 42 divisors (see below), whose sum is σ = 5053037138. Its totient is φ = 821422080.

The previous prime is 2053556789. The next prime is 2053556801. The reversal of 2053556800 is 86553502.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 2053177344 = 616^2 + 45312^2 .

It is not an unprimeable number, because it can be changed into a prime (2053556801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 640137 + ... + 643336.

Almost surely, 2^2053556800 is an apocalyptic number.

2053556800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053556800 is an abundant number, since it is smaller than the sum of its proper divisors (2999480338).

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

2053556800 is a wasteful number, since it uses less digits than its factorization.

2053556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283495 (or 1283480 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 2053556800 is about 45316.1869534496. The cubic root of 2053556800 is about 1271.0683551599.

The spelling of 2053556800 in words is "two billion, fifty-three million, five hundred fifty-six thousand, eight hundred".