2160748800 has 648 divisors, whose sum is σ = 9252157824. Its totient is φ = 470384640.

The previous prime is 2160748789. The next prime is 2160748819. The reversal of 2160748800 is 88470612.

2160748800 is a `hidden beast` number, since 2 + 1 + 607 + 48 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9273484 + ... + 9273716.

Almost surely, 2^2160748800 is an apocalyptic number.

2160748800 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 2160748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626078912).

2160748800 is an abundant number, since it is smaller than the sum of its proper divisors (7091409024).

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

2160748800 is a wasteful number, since it uses less digits than its factorization.

2160748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2160748800 is about 46483.8552618003. The cubic root of 2160748800 is about 1292.8101709000.

It can be divided in two parts, 21607 and 48800, that added together give a palindrome (70407).

The spelling of 2160748800 in words is "two billion, one hundred sixty million, seven hundred forty-eight thousand, eight hundred".