2444745888 has 180 divisors, whose sum is σ = 7786940238. Its totient is φ = 752094720.

The previous prime is 2444745871. The next prime is 2444745917. The reversal of 2444745888 is 8885474442.

2444745888 is a `hidden beast` number, since 2 + 44 + 474 + 58 + 88 = 666.

2444745888 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 996791184 + 1447954704 = 31572^2 + 38052^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 435258 + ... + 440838.

Almost surely, 2^2444745888 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 2444745888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893470119).

2444745888 is an abundant number, since it is smaller than the sum of its proper divisors (5342194350).

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

2444745888 is a wasteful number, since it uses less digits than its factorization.

2444745888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5599 counting only the distinct ones).

The product of its digits is 9175040, while the sum is 54.

The square root of 2444745888 is about 49444.3716513821. The cubic root of 2444745888 is about 1347.1353775872.

The spelling of 2444745888 in words is "two billion, four hundred forty-four million, seven hundred forty-five thousand, eight hundred eighty-eight".