2153088000 has 704 divisors, whose sum is σ = 9196761600. Its totient is φ = 486604800.

The previous prime is 2153087957. The next prime is 2153088013. The reversal of 2153088000 is 8803512.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191956 + ... + 24192044.

Almost surely, 2^2153088000 is an apocalyptic number.

2153088000 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 2153088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598380800).

2153088000 is an abundant number, since it is smaller than the sum of its proper divisors (7043673600).

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

2153088000 is an equidigital number, since it uses as much as digits as its factorization.

2153088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2153088000 is about 46401.3792898444. The cubic root of 2153088000 is about 1291.2805024365.

The spelling of 2153088000 in words is "two billion, one hundred fifty-three million, eighty-eight thousand".