2314643520 has 448 divisors, whose sum is σ = 8914010112. Its totient is φ = 497664000.

The previous prime is 2314643519. The next prime is 2314643533. The reversal of 2314643520 is 253464132.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 8540985 + ... + 8541255.

It is an arithmetic number, because the mean of its divisors is an integer number (19897344).

Almost surely, 2^2314643520 is an apocalyptic number.

2314643520 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 2314643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457005056).

2314643520 is an abundant number, since it is smaller than the sum of its proper divisors (6599366592).

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

2314643520 is a wasteful number, since it uses less digits than its factorization.

2314643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2314643520 is about 48110.7422516011. The cubic root of 2314643520 is about 1322.8015795403.

It can be divided in two parts, 23146 and 43520, that added together give a palindrome (66666).

The spelling of 2314643520 in words is "two billion, three hundred fourteen million, six hundred forty-three thousand, five hundred twenty".