2187689982660 has 648 divisors, whose sum is σ = 8563013766216. Its totient is φ = 450307952640.

The previous prime is 2187689982617. The next prime is 2187689982683. The reversal of 2187689982660 is 662899867812.

2187689982660 is a `hidden beast` number, since 218 + 7 + 68 + 9 + 98 + 266 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2117164682304 + 70525300356 = 1455048^2 + 265566^2 .

It is a super-2 number, since 2×2187689982660² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61095882 + ... + 61131678.

It is an arithmetic number, because the mean of its divisors is an integer number (13214527417).

Almost surely, 2^{2187689982660} is an apocalyptic number.

2187689982660 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 2187689982660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281506883108).

2187689982660 is an abundant number, since it is smaller than the sum of its proper divisors (6375323783556).

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

2187689982660 is a wasteful number, since it uses less digits than its factorization.

2187689982660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35893 (or 35868 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 2187689982660 in words is "two trillion, one hundred eighty-seven billion, six hundred eighty-nine million, nine hundred eighty-two thousand, six hundred sixty".