2806766640 has 560 divisors, whose sum is σ = 10978092000. Its totient is φ = 662888448.

The previous prime is 2806766597. The next prime is 2806766671. The reversal of 2806766640 is 466676082.

2806766640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 111 ways as a sum of consecutive naturals, for example, 18837286 + ... + 18837434.

Almost surely, 2^2806766640 is an apocalyptic number.

2806766640 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 2806766640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489046000).

2806766640 is an abundant number, since it is smaller than the sum of its proper divisors (8171325360).

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

2806766640 is a wasteful number, since it uses less digits than its factorization.

2806766640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2806766640 is about 52978.9263764376. The cubic root of 2806766640 is about 1410.5942266745.

The spelling of 2806766640 in words is "two billion, eight hundred six million, seven hundred sixty-six thousand, six hundred forty".