2304400014 has 192 divisors, whose sum is σ = 6262603776. Its totient is φ = 597445632.

The previous prime is 2304400003. The next prime is 2304400019. The reversal of 2304400014 is 4100044032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2304400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304400019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11697364 + ... + 11697560.

It is an arithmetic number, because the mean of its divisors is an integer number (32617728).

Almost surely, 2^2304400014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304400014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131301888).

2304400014 is an abundant number, since it is smaller than the sum of its proper divisors (3958203762).

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

2304400014 is a wasteful number, since it uses less digits than its factorization.

2304400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2304400014 is about 48004.1666316581. The cubic root of 2304400014 is about 1320.8473313110.

Adding to 2304400014 its reverse (4100044032), we get a palindrome (6404444046).

The spelling of 2304400014 in words is "two billion, three hundred four million, four hundred thousand, fourteen".