2151628800 has 360 divisors, whose sum is σ = 7606138176. Its totient is φ = 534773760.

The previous prime is 2151628781. The next prime is 2151628861. The reversal of 2151628800 is 88261512.

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, 20889549 + ... + 20889651.

Almost surely, 2^2151628800 is an apocalyptic number.

2151628800 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 2151628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803069088).

2151628800 is an abundant number, since it is smaller than the sum of its proper divisors (5454509376).

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

2151628800 is a wasteful number, since it uses less digits than its factorization.

2151628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 2151628800 is about 46385.6529543349. The cubic root of 2151628800 is about 1290.9887257985.

The spelling of 2151628800 in words is "two billion, one hundred fifty-one million, six hundred twenty-eight thousand, eight hundred".