2304419400 has 144 divisors (see below), whose sum is σ = 7903958400. Its totient is φ = 601415040.

The previous prime is 2304419399. The next prime is 2304419401. The reversal of 2304419400 is 49144032.

It is an interprime number because it is at equal distance from previous prime (2304419399) and next prime (2304419401).

It is not an unprimeable number, because it can be changed into a prime (2304419401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70981 + ... + 98219.

It is an arithmetic number, because the mean of its divisors is an integer number (54888600).

Almost surely, 2^2304419400 is an apocalyptic number.

2304419400 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 2304419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951979200).

2304419400 is an abundant number, since it is smaller than the sum of its proper divisors (5599539000).

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

2304419400 is a wasteful number, since it uses less digits than its factorization.

2304419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27308 (or 27296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2304419400 is about 48004.3685512058. The cubic root of 2304419400 is about 1320.8510352216.

The spelling of 2304419400 in words is "two billion, three hundred four million, four hundred nineteen thousand, four hundred".