2444768256 has 176 divisors, whose sum is σ = 7772442624. Its totient is φ = 668000256.

The previous prime is 2444768219. The next prime is 2444768257. The reversal of 2444768256 is 6528674442.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444768257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492121 + ... + 497063.

Almost surely, 2^2444768256 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 2444768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886221312).

2444768256 is an abundant number, since it is smaller than the sum of its proper divisors (5327674368).

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

2444768256 is a wasteful number, since it uses less digits than its factorization.

2444768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4978 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 2444768256 is about 49444.5978444562. The cubic root of 2444768256 is about 1347.1394860758.

The spelling of 2444768256 in words is "two billion, four hundred forty-four million, seven hundred sixty-eight thousand, two hundred fifty-six".