2314833120 has 192 divisors, whose sum is σ = 8155909440. Its totient is φ = 613177344.

The previous prime is 2314833107. The next prime is 2314833121. The reversal of 2314833120 is 213384132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314833121) 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, 676534 + ... + 679946.

It is an arithmetic number, because the mean of its divisors is an integer number (42478695).

Almost surely, 2^2314833120 is an apocalyptic number.

2314833120 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 2314833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077954720).

2314833120 is an abundant number, since it is smaller than the sum of its proper divisors (5841076320).

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

2314833120 is a wasteful number, since it uses less digits than its factorization.

2314833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2314833120 is about 48112.7126651574. The cubic root of 2314833120 is about 1322.8376968847.

The spelling of 2314833120 in words is "two billion, three hundred fourteen million, eight hundred thirty-three thousand, one hundred twenty".