2507904 has 96 divisors (see below), whose sum is σ = 8274240. Its totient is φ = 714240.

The previous prime is 2507903. The next prime is 2507909. The reversal of 2507904 is 4097052.

2507904 = T₅₉ + T₆₀ + ... + T₂₄₇.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2507903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7909 + ... + 8219.

It is an arithmetic number, because the mean of its divisors is an integer number (86190).

2^2507904 is an apocalyptic number.

2507904 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 2507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137120).

2507904 is an abundant number, since it is smaller than the sum of its proper divisors (5766336).

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

2507904 is a wasteful number, since it uses less digits than its factorization.

2507904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2507904 is about 1583.6363218871. The cubic root of 2507904 is about 135.8637620699.

The spelling of 2507904 in words is "two million, five hundred seven thousand, nine hundred four".