2465904 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 683520.

The previous prime is 2465891. The next prime is 2465909. The reversal of 2465904 is 4095642.

It is a super-4 number, since 4×2465904⁴ (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13687 + ... + 13865.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2465904 is an apocalyptic number.

2465904 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 2465904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2465904 is an abundant number, since it is smaller than the sum of its proper divisors (5033616).

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

2465904 is a wasteful number, since it uses less digits than its factorization.

2465904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2465904 is about 1570.3197126700. The cubic root of 2465904 is about 135.1010491731.

The spelling of 2465904 in words is "two million, four hundred sixty-five thousand, nine hundred four".