2314246464 has 168 divisors, whose sum is σ = 6984865888. Its totient is φ = 759559680.

The previous prime is 2314246457. The next prime is 2314246469. The reversal of 2314246464 is 4646424132.

2314246464 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 2 + 4 + 646 + 4 = 666.

It is a super-2 number, since 2×2314246464² = 10711473392273006592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314246469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040874 + ... + 1043094.

Almost surely, 2^2314246464 is an apocalyptic number.

2314246464 is a gapful number since it is divisible by the number (24) 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 2314246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492432944).

2314246464 is an abundant number, since it is smaller than the sum of its proper divisors (4670619424).

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

2314246464 is an equidigital number, since it uses as much as digits as its factorization.

2314246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2293 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2314246464 is about 48106.6155949470. The cubic root of 2314246464 is about 1322.7259370299.

The spelling of 2314246464 in words is "two billion, three hundred fourteen million, two hundred forty-six thousand, four hundred sixty-four".