2667904 has 32 divisors (see below), whose sum is σ = 5599800. Its totient is φ = 1262592.

The previous prime is 2667887. The next prime is 2667919. The reversal of 2667904 is 4097662.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2667904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1884 + ... + 2980.

2^2667904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799900).

2667904 is an abundant number, since it is smaller than the sum of its proper divisors (2931896).

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

2667904 is a wasteful number, since it uses less digits than its factorization.

2667904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2667904 is about 1633.3719723321. The cubic root of 2667904 is about 138.6936995291.

The spelling of 2667904 in words is "two million, six hundred sixty-seven thousand, nine hundred four".