2426304000 has 160 divisors (see below), whose sum is σ = 8067492576. Its totient is φ = 646963200.

The previous prime is 2426303989. The next prime is 2426304019. The reversal of 2426304000 is 4036242.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2426304000² = 11773902200832000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185682 + ... + 198318.

Almost surely, 2^2426304000 is an apocalyptic number.

2426304000 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 2426304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033746288).

2426304000 is an abundant number, since it is smaller than the sum of its proper divisors (5641188576).

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

2426304000 is an equidigital number, since it uses as much as digits as its factorization.

2426304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12673 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2426304000 is about 49257.5273435442. The cubic root of 2426304000 is about 1343.7394619689.

The spelling of 2426304000 in words is "two billion, four hundred twenty-six million, three hundred four thousand".