2160076800 has 576 divisors, whose sum is σ = 8530704000. Its totient is φ = 481689600.

The previous prime is 2160076783. The next prime is 2160076811. The reversal of 2160076800 is 86700612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52684780 + ... + 52684820.

It is an arithmetic number, because the mean of its divisors is an integer number (14810250).

Almost surely, 2^2160076800 is an apocalyptic number.

2160076800 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 2160076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352000).

2160076800 is an abundant number, since it is smaller than the sum of its proper divisors (6370627200).

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

2160076800 is an equidigital number, since it uses as much as digits as its factorization.

2160076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2160076800 is about 46476.6263835920. The cubic root of 2160076800 is about 1292.6761342620.

The spelling of 2160076800 in words is "two billion, one hundred sixty million, seventy-six thousand, eight hundred".