2170876680 has 512 divisors, whose sum is σ = 8736768000. Its totient is φ = 469048320.

The previous prime is 2170876663. The next prime is 2170876699. The reversal of 2170876680 is 866780712.

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 127 ways as a sum of consecutive naturals, for example, 13827162 + ... + 13827318.

It is an arithmetic number, because the mean of its divisors is an integer number (17064000).

Almost surely, 2^2170876680 is an apocalyptic number.

2170876680 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 2170876680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368384000).

2170876680 is an abundant number, since it is smaller than the sum of its proper divisors (6565891320).

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

2170876680 is a wasteful number, since it uses less digits than its factorization.

2170876680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2170876680 is about 46592.6676634854. The cubic root of 2170876680 is about 1294.8269134558.

The spelling of 2170876680 in words is "two billion, one hundred seventy million, eight hundred seventy-six thousand, six hundred eighty".