2831904 has 36 divisors (see below), whose sum is σ = 8054046. Its totient is φ = 943872.

The previous prime is 2831903. The next prime is 2831909. The reversal of 2831904 is 4091382.

It can be written as a sum of positive squares in only one way, i.e., 2396304 + 435600 = 1548^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2831903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4629 + ... + 5204.

2^2831904 is an apocalyptic number.

2831904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2831904 is an abundant number, since it is smaller than the sum of its proper divisors (5222142).

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

2831904 is a wasteful number, since it uses less digits than its factorization.

2831904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2831904 is about 1682.8261942340. The cubic root of 2831904 is about 141.4792804300.

It can be divided in two parts, 283 and 1904, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2831904 in words is "two million, eight hundred thirty-one thousand, nine hundred four".