2774880672 has 48 divisors (see below), whose sum is σ = 7383862080. Its totient is φ = 912287232.

The previous prime is 2774880637. The next prime is 2774880727. The reversal of 2774880672 is 2760884772.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2774880672³ (a number of 29 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 190972 + ... + 204987.

It is an arithmetic number, because the mean of its divisors is an integer number (153830460).

Almost surely, 2^2774880672 is an apocalyptic number.

It is an amenable number.

2774880672 is an abundant number, since it is smaller than the sum of its proper divisors (4608981408).

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

2774880672 is a wasteful number, since it uses less digits than its factorization.

2774880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396045 (or 396037 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The square root of 2774880672 is about 52677.1361408344. The cubic root of 2774880672 is about 1405.2322361094.

The spelling of 2774880672 in words is "two billion, seven hundred seventy-four million, eight hundred eighty thousand, six hundred seventy-two".