2314234400 has 72 divisors (see below), whose sum is σ = 5756326884. Its totient is φ = 908211200.

The previous prime is 2314234367. The next prime is 2314234411. The reversal of 2314234400 is 44324132.

It can be written as a sum of positive squares in 6 ways, for example, as 1583721616 + 730512784 = 39796^2 + 27028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15110 + ... + 69690.

Almost surely, 2^2314234400 is an apocalyptic number.

2314234400 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 2314234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878163442).

2314234400 is an abundant number, since it is smaller than the sum of its proper divisors (3442092484).

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

2314234400 is a wasteful number, since it uses less digits than its factorization.

2314234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54654 (or 54641 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2314234400 is about 48106.4902066239. The cubic root of 2314234400 is about 1322.7236386009.

Adding to 2314234400 its reverse (44324132), we get a palindrome (2358558532).

The spelling of 2314234400 in words is "two billion, three hundred fourteen million, two hundred thirty-four thousand, four hundred".