2302234400 has 72 divisors (see below), whose sum is σ = 5676175764. Its totient is φ = 911744000.

The previous prime is 2302234391. The next prime is 2302234423. The reversal of 2302234400 is 44322032.

It can be written as a sum of positive squares in 6 ways, for example, as 1530061456 + 772172944 = 39116^2 + 27788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 66554 + ... + 95046.

Almost surely, 2^2302234400 is an apocalyptic number.

2302234400 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 2302234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838087882).

2302234400 is an abundant number, since it is smaller than the sum of its proper divisors (3373941364).

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

2302234400 is a wasteful number, since it uses less digits than its factorization.

2302234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28614 (or 28601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2302234400 is about 47981.6048085097. The cubic root of 2302234400 is about 1320.4334358675.

Adding to 2302234400 its reverse (44322032), we get a palindrome (2346556432).

The spelling of 2302234400 in words is "two billion, three hundred two million, two hundred thirty-four thousand, four hundred".