2275582320 has 120 divisors (see below), whose sum is σ = 8336935152. Its totient is φ = 551654400.

The previous prime is 2275582289. The next prime is 2275582321. The reversal of 2275582320 is 232855722.

It is a happy number.

2275582320 is a `hidden beast` number, since 2 + 2 + 75 + 582 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275582321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135741 + ... + 151580.

Almost surely, 2^2275582320 is an apocalyptic number.

2275582320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2275582320 is an abundant number, since it is smaller than the sum of its proper divisors (6061352832).

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

2275582320 is a wasteful number, since it uses less digits than its factorization.

2275582320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287351 (or 287342 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2275582320 is about 47703.0640525323. The cubic root of 2275582320 is about 1315.3182630703.

The spelling of 2275582320 in words is "two billion, two hundred seventy-five million, five hundred eighty-two thousand, three hundred twenty".