2615904 has 72 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 840960.

The previous prime is 2615903. The next prime is 2615917. The reversal of 2615904 is 4095162.

2615904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2615903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8782 + ... + 9074.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

2^2615904 is an apocalyptic number.

2615904 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 2615904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2615904 is an abundant number, since it is smaller than the sum of its proper divisors (5089248).

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

2615904 is a wasteful number, since it uses less digits than its factorization.

2615904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2615904 is about 1617.3756520982. The cubic root of 2615904 is about 137.7866899850.

The spelling of 2615904 in words is "two million, six hundred fifteen thousand, nine hundred four".