2265978960 has 480 divisors, whose sum is σ = 9401184000. Its totient is φ = 477315072.

The previous prime is 2265978941. The next prime is 2265978989. The reversal of 2265978960 is 698795622.

It is a junction number, because it is equal to n+sod(n) for n = 2265978897 and 2265978906.

It is a congruent number.

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, 4540791 + ... + 4541289.

It is an arithmetic number, because the mean of its divisors is an integer number (19585800).

Almost surely, 2^2265978960 is an apocalyptic number.

2265978960 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 2265978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700592000).

2265978960 is an abundant number, since it is smaller than the sum of its proper divisors (7135205040).

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

2265978960 is a wasteful number, since it uses less digits than its factorization.

2265978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2265978960 is about 47602.2999444355. The cubic root of 2265978960 is about 1313.4653621694.

The spelling of 2265978960 in words is "two billion, two hundred sixty-five million, nine hundred seventy-eight thousand, nine hundred sixty".