2264327520 has 192 divisors, whose sum is σ = 8778792960. Its totient is φ = 477739008.

The previous prime is 2264327519. The next prime is 2264327539. The reversal of 2264327520 is 257234622.

2264327520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17761 + ... + 69599.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^2264327520 is an apocalyptic number.

2264327520 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 2264327520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389396480).

2264327520 is an abundant number, since it is smaller than the sum of its proper divisors (6514465440).

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

2264327520 is a wasteful number, since it uses less digits than its factorization.

2264327520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51877 (or 51869 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2264327520 is about 47584.9505621263. The cubic root of 2264327520 is about 1313.1462011598.

The spelling of 2264327520 in words is "two billion, two hundred sixty-four million, three hundred twenty-seven thousand, five hundred twenty".