2053792800 has 144 divisors (see below), whose sum is σ = 7427962080. Its totient is φ = 547672320.

The previous prime is 2053792799. The next prime is 2053792817. The reversal of 2053792800 is 82973502.

It is a happy number.

2053792800 is a `hidden beast` number, since 2 + 0 + 5 + 379 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25942 + ... + 69141.

It is an arithmetic number, because the mean of its divisors is an integer number (51583070).

Almost surely, 2^2053792800 is an apocalyptic number.

2053792800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053792800 is an abundant number, since it is smaller than the sum of its proper divisors (5374169280).

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

2053792800 is a wasteful number, since it uses less digits than its factorization.

2053792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95112 (or 95093 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2053792800 is about 45318.7908046982. The cubic root of 2053792800 is about 1271.1170447703.

The spelling of 2053792800 in words is "two billion, fifty-three million, seven hundred ninety-two thousand, eight hundred".