2314720800 has 594 divisors, whose sum is σ = 9860034933. Its totient is φ = 529079040.

The previous prime is 2314720789. The next prime is 2314720819. The reversal of 2314720800 is 80274132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2314720800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2268426384 + 46294416 = 47628^2 + 6804^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=34020.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 330674397 + ... + 330674403.

Almost surely, 2^2314720800 is an apocalyptic number.

2314720800 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 2314720800

2314720800 is an abundant number, since it is smaller than the sum of its proper divisors (7545314133).

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

2314720800 is an frugal number, since it uses more digits than its factorization.

2314720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2314720800 is about 48111.5453919327. The cubic root of 2314720800 is about 1322.8163010251.

Adding to 2314720800 its reverse (80274132), we get a palindrome (2394994932).

The spelling of 2314720800 in words is "two billion, three hundred fourteen million, seven hundred twenty thousand, eight hundred".