2778984 has 48 divisors (see below), whose sum is σ = 8108100. Its totient is φ = 854784.

The previous prime is 2778967. The next prime is 2778989. The reversal of 2778984 is 4898772.

2778984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 756900 = 1422^2 + 870^2 .

It is a super-3 number, since 3×2778984³ = 64384213334298803712, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2778989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549 + ... + 2420.

2^2778984 is an apocalyptic number.

2778984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2778984 is an abundant number, since it is smaller than the sum of its proper divisors (5329116).

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

2778984 is a wasteful number, since it uses less digits than its factorization.

2778984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2987 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2778984 is about 1667.0284940576. The cubic root of 2778984 is about 140.5924552836.

It can be divided in two parts, 277 and 8984, that added together give a cube (9261 = 21³).

The spelling of 2778984 in words is "two million, seven hundred seventy-eight thousand, nine hundred eighty-four".