2288630880 has 72 divisors (see below), whose sum is σ = 7809957792. Its totient is φ = 610301184.

The previous prime is 2288630867. The next prime is 2288630891. The reversal of 2288630880 is 880368822.

2288630880 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 630 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793224 + ... + 796103.

It is an arithmetic number, because the mean of its divisors is an integer number (108471636).

Almost surely, 2^2288630880 is an apocalyptic number.

2288630880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2288630880 is an abundant number, since it is smaller than the sum of its proper divisors (5521326912).

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

2288630880 is a wasteful number, since it uses less digits than its factorization.

2288630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589348 (or 1589337 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2288630880 is about 47839.6371223696. The cubic root of 2288630880 is about 1317.8275560496.

The spelling of 2288630880 in words is "two billion, two hundred eighty-eight million, six hundred thirty thousand, eight hundred eighty".