2314114880 has 224 divisors, whose sum is σ = 7233269760. Its totient is φ = 683182080.

The previous prime is 2314114867. The next prime is 2314114883. The reversal of 2314114880 is 884114132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314114883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465689 + ... + 470631.

Almost surely, 2^2314114880 is an apocalyptic number.

2314114880 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 2314114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616634880).

2314114880 is an abundant number, since it is smaller than the sum of its proper divisors (4919154880).

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

2314114880 is a wasteful number, since it uses less digits than its factorization.

2314114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2314114880 is about 48105.2479465598. The cubic root of 2314114880 is about 1322.7008672615.

The spelling of 2314114880 in words is "two billion, three hundred fourteen million, one hundred fourteen thousand, eight hundred eighty".