2766390688 has 72 divisors (see below), whose sum is σ = 6028958628. Its totient is φ = 1245100032.

The previous prime is 2766390677. The next prime is 2766390713. The reversal of 2766390688 is 8860936672.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2107544464 + 658846224 = 45908^2 + 25668^2 .

It is a super-2 number, since 2×2766390688² = 15305834877306226688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282970 + ... + 292582.

Almost surely, 2^2766390688 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 2766390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014479314).

2766390688 is an abundant number, since it is smaller than the sum of its proper divisors (3262567940).

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

2766390688 is a wasteful number, since it uses less digits than its factorization.

2766390688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9686 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The square root of 2766390688 is about 52596.4893125007. The cubic root of 2766390688 is about 1403.7976294008.

The spelling of 2766390688 in words is "two billion, seven hundred sixty-six million, three hundred ninety thousand, six hundred eighty-eight".