2314391040 has 240 divisors, whose sum is σ = 8633072448. Its totient is φ = 569622528.

The previous prime is 2314391039. The next prime is 2314391069. The reversal of 2314391040 is 401934132.

2314391040 is a `hidden beast` number, since 231 + 4 + 391 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2314390995 and 2314391013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295657 + ... + 303383.

Almost surely, 2^2314391040 is an apocalyptic number.

2314391040 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 2314391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316536224).

2314391040 is an abundant number, since it is smaller than the sum of its proper divisors (6318681408).

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

2314391040 is a wasteful number, since it uses less digits than its factorization.

2314391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2314391040 is about 48108.1182338283. The cubic root of 2314391040 is about 1322.7534809765.

The spelling of 2314391040 in words is "two billion, three hundred fourteen million, three hundred ninety-one thousand, forty".