2153251200 has 192 divisors, whose sum is σ = 7210498320. Its totient is φ = 564633600.

The previous prime is 2153251181. The next prime is 2153251211. The reversal of 2153251200 is 21523512.

It is a tau number, because it is divible by the number of its divisors (192).

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, 583762 + ... + 587438.

Almost surely, 2^2153251200 is an apocalyptic number.

2153251200 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 2153251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605249160).

2153251200 is an abundant number, since it is smaller than the sum of its proper divisors (5057247120).

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

2153251200 is a wasteful number, since it uses less digits than its factorization.

2153251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2153251200 is about 46403.1378249359. The cubic root of 2153251200 is about 1291.3131271525.

Adding to 2153251200 its reverse (21523512), we get a palindrome (2174774712).

The spelling of 2153251200 in words is "two billion, one hundred fifty-three million, two hundred fifty-one thousand, two hundred".