2153044800 has 420 divisors, whose sum is σ = 8146046700. Its totient is φ = 557383680.

The previous prime is 2153044771. The next prime is 2153044801. The reversal of 2153044800 is 84403512.

2153044800 is a `hidden beast` number, since 215 + 3 + 0 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42928704 + 2110116096 = 6552^2 + 45936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153044801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4794976 + ... + 4795424.

Almost surely, 2^2153044800 is an apocalyptic number.

2153044800 is a gapful number since it is divisible by the number (20) 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 2153044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073023350).

2153044800 is an abundant number, since it is smaller than the sum of its proper divisors (5993001900).

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

2153044800 is a wasteful number, since it uses less digits than its factorization.

2153044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2153044800 is about 46400.9137841056. The cubic root of 2153044800 is about 1291.2718662063.

The spelling of 2153044800 in words is "two billion, one hundred fifty-three million, forty-four thousand, eight hundred".