2245584672 has 144 divisors (see below), whose sum is σ = 6786568152. Its totient is φ = 701890560.

The previous prime is 2245584667. The next prime is 2245584683. The reversal of 2245584672 is 2764855422.

2245584672 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 584 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1642194576 + 603390096 = 40524^2 + 24564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649272 + ... + 1650632.

Almost surely, 2^2245584672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393284076).

2245584672 is an abundant number, since it is smaller than the sum of its proper divisors (4540983480).

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

2245584672 is a wasteful number, since it uses less digits than its factorization.

2245584672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2245584672 is about 47387.6004034811. The cubic root of 2245584672 is about 1309.5129926409.

The spelling of 2245584672 in words is "two billion, two hundred forty-five million, five hundred eighty-four thousand, six hundred seventy-two".