2474304000 has 480 divisors, whose sum is σ = 9605920896. Its totient is φ = 563404800.

The previous prime is 2474303999. The next prime is 2474304011. The reversal of 2474304000 is 4034742.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2474304000² = 12244360568832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9407869 + ... + 9408131.

Almost surely, 2^2474304000 is an apocalyptic number.

2474304000 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 2474304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802960448).

2474304000 is an abundant number, since it is smaller than the sum of its proper divisors (7131616896).

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

2474304000 is an equidigital number, since it uses as much as digits as its factorization.

2474304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2474304000 is about 49742.3763002935. The cubic root of 2474304000 is about 1352.5428069131.

Adding to 2474304000 its reverse (4034742), we get a palindrome (2478338742).

The spelling of 2474304000 in words is "two billion, four hundred seventy-four million, three hundred four thousand".