2768904 has 40 divisors (see below), whose sum is σ = 7757310. Its totient is φ = 922752.

The previous prime is 2768903. The next prime is 2768923. The reversal of 2768904 is 4098672.

It can be written as a sum of positive squares in only one way, i.e., 2566404 + 202500 = 1602^2 + 450^2 .

It is a super-2 number, since 2×2768904² = 15333658722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2768903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1489 + ... + 2784.

2^2768904 is an apocalyptic number.

2768904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2768904 is an abundant number, since it is smaller than the sum of its proper divisors (4988406).

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

2768904 is a wasteful number, since it uses less digits than its factorization.

2768904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2768904 is about 1664.0024038444. The cubic root of 2768904 is about 140.4222625228.

It can be divided in two parts, 276 and 8904, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 2768904 in words is "two million, seven hundred sixty-eight thousand, nine hundred four".