2314054400 has 324 divisors, whose sum is σ = 6847874208. Its totient is φ = 771563520.

The previous prime is 2314054397. The next prime is 2314054409. The reversal of 2314054400 is 44504132.

It is not an unprimeable number, because it can be changed into a prime (2314054409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14739122 + ... + 14739278.

Almost surely, 2^2314054400 is an apocalyptic number.

2314054400 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 2314054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423937104).

2314054400 is an abundant number, since it is smaller than the sum of its proper divisors (4533819808).

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

2314054400 is a wasteful number, since it uses less digits than its factorization.

2314054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2314054400 is about 48104.6193208095. The cubic root of 2314054400 is about 1322.6893441163.

Adding to 2314054400 its reverse (44504132), we get a palindrome (2358558532).

The spelling of 2314054400 in words is "two billion, three hundred fourteen million, fifty-four thousand, four hundred".