2770856064 has 96 divisors (see below), whose sum is σ = 8069770800. Its totient is φ = 912459264.

The previous prime is 2770856029. The next prime is 2770856159. The reversal of 2770856064 is 4606580772.

2770856064 is a `hidden beast` number, since 27 + 7 + 0 + 8 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81127 + ... + 110105.

Almost surely, 2^2770856064 is an apocalyptic number.

2770856064 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 2770856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034885400).

2770856064 is an abundant number, since it is smaller than the sum of its proper divisors (5298914736).

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

2770856064 is a wasteful number, since it uses less digits than its factorization.

2770856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29067 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2770856064 is about 52638.9215695003. The cubic root of 2770856064 is about 1404.5525377764.

The spelling of 2770856064 in words is "two billion, seven hundred seventy million, eight hundred fifty-six thousand, sixty-four".