2181015175680 has 800 divisors, whose sum is σ = 8590104483840. Its totient is φ = 524498042880.

The previous prime is 2181015175613. The next prime is 2181015175721. The reversal of 2181015175680 is 865715101812.

2181015175680 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 0 + 1 + 517 + 56 + 80 = 666.

It is a super-2 number, since 2×2181015175680² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289678156 + ... + 289685684.

Almost surely, 2^{2181015175680} is an apocalyptic number.

2181015175680 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 2181015175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295052241920).

2181015175680 is an abundant number, since it is smaller than the sum of its proper divisors (6409089308160).

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

2181015175680 is a wasteful number, since it uses less digits than its factorization.

2181015175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 2181015175680 in words is "two trillion, one hundred eighty-one billion, fifteen million, one hundred seventy-five thousand, six hundred eighty".