2153325600 has 288 divisors, whose sum is σ = 7857622080. Its totient is φ = 569088000.

The previous prime is 2153325599. The next prime is 2153325623. The reversal of 2153325600 is 65233512.

2153325600 is a `hidden beast` number, since 2 + 1 + 5 + 33 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2153325600² = 9273622279230720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829220 + ... + 2829980.

It is an arithmetic number, because the mean of its divisors is an integer number (27283410).

Almost surely, 2^2153325600 is an apocalyptic number.

2153325600 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 2153325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928811040).

2153325600 is an abundant number, since it is smaller than the sum of its proper divisors (5704296480).

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

2153325600 is a wasteful number, since it uses less digits than its factorization.

2153325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2153325600 is about 46403.9394879357. The cubic root of 2153325600 is about 1291.3279996378.

The spelling of 2153325600 in words is "two billion, one hundred fifty-three million, three hundred twenty-five thousand, six hundred".