2265822720 has 600 divisors, whose sum is σ = 9482768064. Its totient is φ = 515579904.

The previous prime is 2265822701. The next prime is 2265822721. The reversal of 2265822720 is 272285622.

2265822720 is a `hidden beast` number, since 2 + 2 + 6 + 582 + 2 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265822721) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160529 + ... + 10160751.

Almost surely, 2^2265822720 is an apocalyptic number.

2265822720 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 2265822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741384032).

2265822720 is an abundant number, since it is smaller than the sum of its proper divisors (7216945344).

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

2265822720 is an equidigital number, since it uses as much as digits as its factorization.

2265822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2265822720 is about 47600.6588189701. The cubic root of 2265822720 is about 1313.4351735183.

The spelling of 2265822720 in words is "two billion, two hundred sixty-five million, eight hundred twenty-two thousand, seven hundred twenty".