2045368584 has 240 divisors, whose sum is σ = 6848307180. Its totient is φ = 568270080.

The previous prime is 2045368543. The next prime is 2045368597. The reversal of 2045368584 is 4858635402.

2045368584 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 3 + 68 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2000772900 + 44595684 = 44730^2 + 6678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1173954 + ... + 1175694.

Almost surely, 2^2045368584 is an apocalyptic number.

2045368584 is a gapful number since it is divisible by the number (24) 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 2045368584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424153590).

2045368584 is an abundant number, since it is smaller than the sum of its proper divisors (4802938596).

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

2045368584 is a wasteful number, since it uses less digits than its factorization.

2045368584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2045368584 is about 45225.7513370425. The cubic root of 2045368584 is about 1269.3767136030.

The spelling of 2045368584 in words is "two billion, forty-five million, three hundred sixty-eight thousand, five hundred eighty-four".