2153580800 has 216 divisors, whose sum is σ = 6213727296. Its totient is φ = 723640320.

The previous prime is 2153580797. The next prime is 2153580857. The reversal of 2153580800 is 80853512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373947 + ... + 2374853.

It is an arithmetic number, because the mean of its divisors is an integer number (28767256).

Almost surely, 2^2153580800 is an apocalyptic number.

2153580800 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 2153580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106863648).

2153580800 is an abundant number, since it is smaller than the sum of its proper divisors (4060146496).

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

2153580800 is an equidigital number, since it uses as much as digits as its factorization.

2153580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 2153580800 is about 46406.6891730061. The cubic root of 2153580800 is about 1291.3790112587.

The spelling of 2153580800 in words is "two billion, one hundred fifty-three million, five hundred eighty thousand, eight hundred".