2180227878360 has 1280 divisors, whose sum is σ = 8867606077440. Its totient is φ = 470023741440.

The previous prime is 2180227878347. The next prime is 2180227878377. The reversal of 2180227878360 is 638787220812.

2180227878360 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 2 + 278 + 7 + 8 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2180227878297 and 2180227878306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5491757682 + ... + 5491758078.

It is an arithmetic number, because the mean of its divisors is an integer number (6927817248).

Almost surely, 2^{2180227878360} is an apocalyptic number.

2180227878360 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 2180227878360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433803038720).

2180227878360 is an abundant number, since it is smaller than the sum of its proper divisors (6687378199080).

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

2180227878360 is a wasteful number, since it uses less digits than its factorization.

2180227878360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2180227878360 in words is "two trillion, one hundred eighty billion, two hundred twenty-seven million, eight hundred seventy-eight thousand, three hundred sixty".