2314111680 has 280 divisors, whose sum is σ = 8351288352. Its totient is φ = 608145408.

The previous prime is 2314111663. The next prime is 2314111691. The reversal of 2314111680 is 861114132.

It is a happy number.

2314111680 is a `hidden beast` number, since 231 + 411 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×2314111680² = 10710225735024844800, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1891549 + ... + 1892771.

Almost surely, 2^2314111680 is an apocalyptic number.

2314111680 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 2314111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175644176).

2314111680 is an abundant number, since it is smaller than the sum of its proper divisors (6037176672).

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

2314111680 is a wasteful number, since it uses less digits than its factorization.

2314111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2314111680 is about 48105.2146861440. The cubic root of 2314111680 is about 1322.7002575763.

The spelling of 2314111680 in words is "two billion, three hundred fourteen million, one hundred eleven thousand, six hundred eighty".