2404896 has 96 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 706560.

The previous prime is 2404891. The next prime is 2404907. The reversal of 2404896 is 6984042.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2404891) 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 15 ways as a sum of consecutive naturals, for example, 51145 + ... + 51191.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^2404896 is an apocalyptic number.

2404896 is a gapful number since it is divisible by the number (26) 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 2404896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

2404896 is an abundant number, since it is smaller than the sum of its proper divisors (4707552).

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

2404896 is a wasteful number, since it uses less digits than its factorization.

2404896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2404896 is about 1550.7727106188. The cubic root of 2404896 is about 133.9775710586.

The spelling of 2404896 in words is "two million, four hundred four thousand, eight hundred ninety-six".