2281275360 has 576 divisors, whose sum is σ = 10014580800. Its totient is φ = 480743424.

The previous prime is 2281275349. The next prime is 2281275419. The reversal of 2281275360 is 635721822.

2281275360 is a `hidden beast` number, since 2 + 28 + 1 + 275 + 360 = 666.

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

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, 2751426 + ... + 2752254.

It is an arithmetic number, because the mean of its divisors is an integer number (17386425).

Almost surely, 2^2281275360 is an apocalyptic number.

2281275360 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 2281275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007290400).

2281275360 is an abundant number, since it is smaller than the sum of its proper divisors (7733305440).

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

2281275360 is a wasteful number, since it uses less digits than its factorization.

2281275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 859 counting only the distinct ones).

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

The square root of 2281275360 is about 47762.6984162327. The cubic root of 2281275360 is about 1316.4142350728.

The spelling of 2281275360 in words is "two billion, two hundred eighty-one million, two hundred seventy-five thousand, three hundred sixty".