2904640 has 56 divisors (see below), whose sum is σ = 7178040. Its totient is φ = 1118208.

The previous prime is 2904623. The next prime is 2904641. The reversal of 2904640 is 464092.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 2903616 = 32^2 + 1704^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2904641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9124 + ... + 9436.

2^2904640 is an apocalyptic number.

2904640 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 2904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589020).

2904640 is an abundant number, since it is smaller than the sum of its proper divisors (4273400).

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

2904640 is a wasteful number, since it uses less digits than its factorization.

2904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2904640 is about 1704.3004429971. The cubic root of 2904640 is about 142.6803298218.

It can be divided in two parts, 290 and 4640, that multiplied together give a square (1345600 = 1160²).

The spelling of 2904640 in words is "two million, nine hundred four thousand, six hundred forty".