2314016640 has 256 divisors, whose sum is σ = 8826753600. Its totient is φ = 569548800.

The previous prime is 2314016611. The next prime is 2314016641. The reversal of 2314016640 is 466104132.

2314016640 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 0 + 16 + 640 = 666.

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 (2314016641) 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, 219490 + ... + 229790.

Almost surely, 2^2314016640 is an apocalyptic number.

2314016640 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 2314016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413376800).

2314016640 is an abundant number, since it is smaller than the sum of its proper divisors (6512736960).

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

2314016640 is a wasteful number, since it uses less digits than its factorization.

2314016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10324 counting only the distinct ones).

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

The square root of 2314016640 is about 48104.2268413078. The cubic root of 2314016640 is about 1322.6821496699.

The spelling of 2314016640 in words is "two billion, three hundred fourteen million, sixteen thousand, six hundred forty".