2687166720 has 432 divisors, whose sum is σ = 10866885120. Its totient is φ = 600293376.

The previous prime is 2687166701. The next prime is 2687166731. The reversal of 2687166720 is 276617862.

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 47 ways as a sum of consecutive naturals, for example, 3789726 + ... + 3790434.

Almost surely, 2^2687166720 is an apocalyptic number.

2687166720 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 2687166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433442560).

2687166720 is an abundant number, since it is smaller than the sum of its proper divisors (8179718400).

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

2687166720 is a wasteful number, since it uses less digits than its factorization.

2687166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2687166720 is about 51837.8888459011. Note that the first 4 decimals coincide. The cubic root of 2687166720 is about 1390.2669673375.

The spelling of 2687166720 in words is "two billion, six hundred eighty-seven million, one hundred sixty-six thousand, seven hundred twenty".