2766704640 has 312 divisors, whose sum is σ = 10308864960. Its totient is φ = 631701504.

The previous prime is 2766704639. The next prime is 2766704651. The reversal of 2766704640 is 464076672.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2766704592 and 2766704601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010101 + ... + 3011019.

Almost surely, 2^2766704640 is an apocalyptic number.

2766704640 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 2766704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154432480).

2766704640 is an abundant number, since it is smaller than the sum of its proper divisors (7542160320).

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

2766704640 is an equidigital number, since it uses as much as digits as its factorization.

2766704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 2766704640 is about 52599.4737616262. The cubic root of 2766704640 is about 1403.8507320957.

The spelling of 2766704640 in words is "two billion, seven hundred sixty-six million, seven hundred four thousand, six hundred forty".