2264589072 has 60 divisors (see below), whose sum is σ = 6369955020. Its totient is φ = 751021824.

The previous prime is 2264589059. The next prime is 2264589083. The reversal of 2264589072 is 2709854622.

2264589072 is a `hidden beast` number, since 2 + 2 + 64 + 589 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1878702336 + 385886736 = 43344^2 + 19644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11547 + ... + 68282.

It is an arithmetic number, because the mean of its divisors is an integer number (106165917).

Almost surely, 2^2264589072 is an apocalyptic number.

It is an amenable number.

2264589072 is an abundant number, since it is smaller than the sum of its proper divisors (4105365948).

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

2264589072 is a wasteful number, since it uses less digits than its factorization.

2264589072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80040 (or 80031 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2264589072 is about 47587.6987466299. The cubic root of 2264589072 is about 1313.1967596278.

The spelling of 2264589072 in words is "two billion, two hundred sixty-four million, five hundred eighty-nine thousand, seventy-two".