2904480 has 72 divisors (see below), whose sum is σ = 9916452. Its totient is φ = 774144.

The previous prime is 2904469. The next prime is 2904487. The reversal of 2904480 is 844092.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 41616 = 1692^2 + 204^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2904487) 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, 432 + ... + 2448.

2^2904480 is an apocalyptic number.

2904480 is a gapful number since it is divisible by the number (20) 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 2904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958226).

2904480 is an abundant number, since it is smaller than the sum of its proper divisors (7011972).

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

2904480 is a wasteful number, since it uses less digits than its factorization.

2904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2904480 is about 1704.2535022701. The cubic root of 2904480 is about 142.6777099593.

The spelling of 2904480 in words is "two million, nine hundred four thousand, four hundred eighty".