2445944564 has 108 divisors (see below), whose sum is σ = 5475437100. Its totient is φ = 951939072.

The previous prime is 2445944563. The next prime is 2445944587. The reversal of 2445944564 is 4654495442.

It can be written as a sum of positive squares in 6 ways, for example, as 58644964 + 2387299600 = 7658^2 + 48860^2 .

It is a super-2 number, since 2×2445944564² = 11965289620322300192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445944561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1641932 + ... + 1643420.

Almost surely, 2^2445944564 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 2445944564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737718550).

2445944564 is an abundant number, since it is smaller than the sum of its proper divisors (3029492536).

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

2445944564 is a wasteful number, since it uses less digits than its factorization.

2445944564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1544 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 47.

The square root of 2445944564 is about 49456.4916264791. The cubic root of 2445944564 is about 1347.3555115778.

The spelling of 2445944564 in words is "two billion, four hundred forty-five million, nine hundred forty-four thousand, five hundred sixty-four".