2279904 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 645120.

The previous prime is 2279899. The next prime is 2279911. The reversal of 2279904 is 4099722.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17889 + ... + 18015.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2^2279904 is an apocalyptic number.

2279904 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 2279904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2279904 is an abundant number, since it is smaller than the sum of its proper divisors (4687392).

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

2279904 is a wasteful number, since it uses less digits than its factorization.

2279904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2279904 is about 1509.9350979430. The cubic root of 2279904 is about 131.6150400243.

The spelling of 2279904 in words is "two million, two hundred seventy-nine thousand, nine hundred four".