2275983360 has 600 divisors, whose sum is σ = 9515536800. Its totient is φ = 520224768.

The previous prime is 2275983337. The next prime is 2275983371. The reversal of 2275983360 is 633895722.

2275983360 is a `hidden beast` number, since 2 + 27 + 598 + 3 + 36 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1680 × 1008 × 1344.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325140477 + ... + 325140483.

It is an arithmetic number, because the mean of its divisors is an integer number (15859228).

Almost surely, 2^2275983360 is an apocalyptic number.

2275983360 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 2275983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757768400).

2275983360 is an abundant number, since it is smaller than the sum of its proper divisors (7239553440).

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

2275983360 is an frugal number, since it uses more digits than its factorization.

2275983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2275983360 is about 47707.2673709153. The cubic root of 2275983360 is about 1315.3955274327.

The spelling of 2275983360 in words is "two billion, two hundred seventy-five million, nine hundred eighty-three thousand, three hundred sixty".