2231782560 has 576 divisors, whose sum is σ = 9409720320. Its totient is φ = 470292480.

The previous prime is 2231782537. The next prime is 2231782571. The reversal of 2231782560 is 652871322.

2231782560 is a `hidden beast` number, since 2 + 2 + 3 + 17 + 82 + 560 = 666.

It is a super-3 number, since 3×2231782560³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8235225 + ... + 8235495.

It is an arithmetic number, because the mean of its divisors is an integer number (16336320).

Almost surely, 2^2231782560 is an apocalyptic number.

2231782560 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 2231782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704860160).

2231782560 is an abundant number, since it is smaller than the sum of its proper divisors (7177937760).

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

2231782560 is a wasteful number, since it uses less digits than its factorization.

2231782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2231782560 is about 47241.7459457205. The cubic root of 2231782560 is about 1306.8245759922.

The spelling of 2231782560 in words is "two billion, two hundred thirty-one million, seven hundred eighty-two thousand, five hundred sixty".