2612904 has 64 divisors (see below), whose sum is σ = 7587840. Its totient is φ = 734400.

The previous prime is 2612893. The next prime is 2612921. The reversal of 2612904 is 4092162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17229 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (118560).

2^2612904 is an apocalyptic number.

2612904 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 2612904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793920).

2612904 is an abundant number, since it is smaller than the sum of its proper divisors (4974936).

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

2612904 is a wasteful number, since it uses less digits than its factorization.

2612904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2612904 is about 1616.4479577147. The cubic root of 2612904 is about 137.7339971506.

The spelling of 2612904 in words is "two million, six hundred twelve thousand, nine hundred four".