2160294364800 has 1920 divisors, whose sum is σ = 9448738992000. Its totient is φ = 479150899200.

The previous prime is 2160294364693. The next prime is 2160294364801. The reversal of 2160294364800 is 84634920612.

2160294364800 is a `hidden beast` number, since 2 + 1 + 602 + 9 + 4 + 36 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2160294364801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6189955026 + ... + 6189955374.

It is an arithmetic number, because the mean of its divisors is an integer number (4921218225).

Almost surely, 2^{2160294364800} is an apocalyptic number.

2160294364800 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 2160294364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724369496000).

2160294364800 is an abundant number, since it is smaller than the sum of its proper divisors (7288444627200).

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

2160294364800 is a wasteful number, since it uses less digits than its factorization.

2160294364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2160294364800 in words is "two trillion, one hundred sixty billion, two hundred ninety-four million, three hundred sixty-four thousand, eight hundred".