2265222960 has 720 divisors, whose sum is σ = 10419645600. Its totient is φ = 433520640.

The previous prime is 2265222943. The next prime is 2265222977. The reversal of 2265222960 is 692225622.

It is an interprime number because it is at equal distance from previous prime (2265222943) and next prime (2265222977).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2265222960² = 10262470117022323200, which contains 22 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 143 ways as a sum of consecutive naturals, for example, 5044816 + ... + 5045264.

It is an arithmetic number, because the mean of its divisors is an integer number (14471730).

Almost surely, 2^2265222960 is an apocalyptic number.

2265222960 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 2265222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209822800).

2265222960 is an abundant number, since it is smaller than the sum of its proper divisors (8154422640).

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

2265222960 is a wasteful number, since it uses less digits than its factorization.

2265222960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2265222960 is about 47594.3584892159. The cubic root of 2265222960 is about 1313.3192751608.

The spelling of 2265222960 in words is "two billion, two hundred sixty-five million, two hundred twenty-two thousand, nine hundred sixty".