2280868560 has 240 divisors, whose sum is σ = 7972146000. Its totient is φ = 583704576.

The previous prime is 2280868559. The next prime is 2280868571. The reversal of 2280868560 is 658680822.

2280868560 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 86 + 8 + 560 = 666.

2280868560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 186158736 + 2094709824 = 13644^2 + 45768^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2280868560² = 10404722775992947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6535266 + ... + 6535614.

It is an arithmetic number, because the mean of its divisors is an integer number (33217275).

Almost surely, 2^2280868560 is an apocalyptic number.

2280868560 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 2280868560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986073000).

2280868560 is an abundant number, since it is smaller than the sum of its proper divisors (5691277440).

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

2280868560 is a wasteful number, since it uses less digits than its factorization.

2280868560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2280868560 is about 47758.4396730044. The cubic root of 2280868560 is about 1316.3359821863.

The spelling of 2280868560 in words is "two billion, two hundred eighty million, eight hundred sixty-eight thousand, five hundred sixty".