2153315200 has 192 divisors, whose sum is σ = 5880561120. Its totient is φ = 774963200.

The previous prime is 2153315147. The next prime is 2153315261. The reversal of 2153315200 is 25133512.

It is a congruent number.

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, 1250340 + ... + 1252060.

Almost surely, 2^2153315200 is an apocalyptic number.

2153315200 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 2153315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940280560).

2153315200 is an abundant number, since it is smaller than the sum of its proper divisors (3727245920).

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

2153315200 is a wasteful number, since it uses less digits than its factorization.

2153315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2153315200 is about 46403.8274283491. The cubic root of 2153315200 is about 1291.3259207088.

Adding to 2153315200 its reverse (25133512), we get a palindrome (2178448712).

The spelling of 2153315200 in words is "two billion, one hundred fifty-three million, three hundred fifteen thousand, two hundred".