2180244106800 has 180 divisors, whose sum is σ = 7770541058800. Its totient is φ = 565684922880.

The previous prime is 2180244106787. The next prime is 2180244106813. The reversal of 2180244106800 is 86014420812.

2180244106800 is a `hidden beast` number, since 2 + 180 + 2 + 4 + 410 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2180244106787) and next prime (2180244106813).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2180244106800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8050900 + ... + 8317299.

Almost surely, 2^{2180244106800} is an apocalyptic number.

2180244106800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2180244106800 is an abundant number, since it is smaller than the sum of its proper divisors (5590296952000).

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

2180244106800 is a wasteful number, since it uses less digits than its factorization.

2180244106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16368260 (or 16368246 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 2180244106800 in words is "two trillion, one hundred eighty billion, two hundred forty-four million, one hundred six thousand, eight hundred".