2687912976 has 160 divisors (see below), whose sum is σ = 8845148160. Its totient is φ = 684730368.

The previous prime is 2687912951. The next prime is 2687913023. The reversal of 2687912976 is 6792197862.

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, 96145 + ... + 120911.

It is an arithmetic number, because the mean of its divisors is an integer number (55282176).

Almost surely, 2^2687912976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687912976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422574080).

2687912976 is an abundant number, since it is smaller than the sum of its proper divisors (6157235184).

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

2687912976 is a wasteful number, since it uses less digits than its factorization.

2687912976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24821 (or 24815 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The square root of 2687912976 is about 51845.0863245496. The cubic root of 2687912976 is about 1390.3956529443.

The spelling of 2687912976 in words is "two billion, six hundred eighty-seven million, nine hundred twelve thousand, nine hundred seventy-six".