2680002864 has 540 divisors, whose sum is σ = 9947545608. Its totient is φ = 670602240.

The previous prime is 2680002841. The next prime is 2680002869. The reversal of 2680002864 is 4682000862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2680002869) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36712332 + ... + 36712404.

Almost surely, 2^2680002864 is an apocalyptic number.

2680002864 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 2680002864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973772804).

2680002864 is an abundant number, since it is smaller than the sum of its proper divisors (7267542744).

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

2680002864 is a wasteful number, since it uses less digits than its factorization.

2680002864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2680002864 is about 51768.7440836650. The cubic root of 2680002864 is about 1389.0304064050.

The spelling of 2680002864 in words is "two billion, six hundred eighty million, two thousand, eight hundred sixty-four".