2687558664 has 128 divisors (see below), whose sum is σ = 8248320000. Its totient is φ = 727417152.

The previous prime is 2687558639. The next prime is 2687558681. The reversal of 2687558664 is 4668557862.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147817 + ... + 164999.

It is an arithmetic number, because the mean of its divisors is an integer number (64440000).

Almost surely, 2^2687558664 is an apocalyptic number.

2687558664 is a gapful number since it is divisible by the number (24) 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 2687558664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124160000).

2687558664 is an abundant number, since it is smaller than the sum of its proper divisors (5560761336).

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

2687558664 is a wasteful number, since it uses less digits than its factorization.

2687558664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17232 (or 17214 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The square root of 2687558664 is about 51841.6691860901. The cubic root of 2687558664 is about 1390.3345577729.

The spelling of 2687558664 in words is "two billion, six hundred eighty-seven million, five hundred fifty-eight thousand, six hundred sixty-four".