2264432560 has 160 divisors (see below), whose sum is σ = 5901497280. Its totient is φ = 802566144.

The previous prime is 2264432551. The next prime is 2264432561. The reversal of 2264432560 is 652344622.

It is not an unprimeable number, because it can be changed into a prime (2264432561) 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, 3193486 + ... + 3194194.

It is an arithmetic number, because the mean of its divisors is an integer number (36884358).

Almost surely, 2^2264432560 is an apocalyptic number.

2264432560 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 2264432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950748640).

2264432560 is an abundant number, since it is smaller than the sum of its proper divisors (3637064720).

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

2264432560 is a wasteful number, since it uses less digits than its factorization.

2264432560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 2264432560 is about 47586.0542596253. The cubic root of 2264432560 is about 1313.1665060469.

The spelling of 2264432560 in words is "two billion, two hundred sixty-four million, four hundred thirty-two thousand, five hundred sixty".