2444881264 has 120 divisors (see below), whose sum is σ = 5728896720. Its totient is φ = 1006967808.

The previous prime is 2444881261. The next prime is 2444881303. The reversal of 2444881264 is 4621884442.

It is a self number, because there is not a number n which added to its sum of digits gives 2444881264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444881261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581239 + ... + 2582185.

It is an arithmetic number, because the mean of its divisors is an integer number (47740806).

Almost surely, 2^2444881264 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 2444881264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864448360).

2444881264 is an abundant number, since it is smaller than the sum of its proper divisors (3284015456).

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

2444881264 is a wasteful number, since it uses less digits than its factorization.

2444881264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its digits is 393216, while the sum is 43.

The square root of 2444881264 is about 49445.7406052331. The cubic root of 2444881264 is about 1347.1602426708.

The spelling of 2444881264 in words is "two billion, four hundred forty-four million, eight hundred eighty-one thousand, two hundred sixty-four".