2770080768 has 440 divisors, whose sum is σ = 10208667392. Its totient is φ = 728580096.

The previous prime is 2770080743. The next prime is 2770080779. The reversal of 2770080768 is 8670800772.

It is a super-2 number, since 2×2770080768² = 15346694922486939648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547721 + ... + 7548087.

Almost surely, 2^2770080768 is an apocalyptic number.

2770080768 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 2770080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104333696).

2770080768 is an abundant number, since it is smaller than the sum of its proper divisors (7438586624).

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

2770080768 is a wasteful number, since it uses less digits than its factorization.

2770080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 2770080768 is about 52631.5567696795. The cubic root of 2770080768 is about 1404.4215258534.

The spelling of 2770080768 in words is "two billion, seven hundred seventy million, eighty thousand, seven hundred sixty-eight".