2687666128 has 80 divisors (see below), whose sum is σ = 6320488320. Its totient is φ = 1081479168.

The previous prime is 2687666123. The next prime is 2687666131. The reversal of 2687666128 is 8216667862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687666123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234876 + ... + 246052.

It is an arithmetic number, because the mean of its divisors is an integer number (79006104).

Almost surely, 2^2687666128 is an apocalyptic number.

2687666128 is a gapful number since it is divisible by the number (28) 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 2687666128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160244160).

2687666128 is an abundant number, since it is smaller than the sum of its proper divisors (3632822192).

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

2687666128 is a wasteful number, since it uses less digits than its factorization.

2687666128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11318 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 2687666128 is about 51842.7056392700. The cubic root of 2687666128 is about 1390.3530887075.

The spelling of 2687666128 in words is "two billion, six hundred eighty-seven million, six hundred sixty-six thousand, one hundred twenty-eight".