2304142440 has 128 divisors (see below), whose sum is σ = 7190208000. Its totient is φ = 590174208.

The previous prime is 2304142427. The next prime is 2304142441. The reversal of 2304142440 is 442414032.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2304142440.

It is not an unprimeable number, because it can be changed into a prime (2304142441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347476 + ... + 354044.

It is an arithmetic number, because the mean of its divisors is an integer number (56173500).

Almost surely, 2^2304142440 is an apocalyptic number.

2304142440 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 2304142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595104000).

2304142440 is an abundant number, since it is smaller than the sum of its proper divisors (4886065560).

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

2304142440 is a wasteful number, since it uses less digits than its factorization.

2304142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2304142440 is about 48001.4837270683. The cubic root of 2304142440 is about 1320.7981169667.

Adding to 2304142440 its reverse (442414032), we get a palindrome (2746556472).

The spelling of 2304142440 in words is "two billion, three hundred four million, one hundred forty-two thousand, four hundred forty".