2254440444522 has 256 divisors, whose sum is σ = 5546716876800. Its totient is φ = 596644392960.

The previous prime is 2254440444497. The next prime is 2254440444547.

2254440444522 is nontrivially palindromic in base 10.

2254440444522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2254440444497) and next prime (2254440444547).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3410650872 + ... + 3410651532.

It is an arithmetic number, because the mean of its divisors is an integer number (21666862800).

Almost surely, 2^{2254440444522} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254440444522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773358438400).

2254440444522 is an abundant number, since it is smaller than the sum of its proper divisors (3292276432278).

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

2254440444522 is a wasteful number, since it uses less digits than its factorization.

2254440444522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261.

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 2254440 and 444522, that added together give a palindrome (2698962).

The spelling of 2254440444522 in words is "two trillion, two hundred fifty-four billion, four hundred forty million, four hundred forty-four thousand, five hundred twenty-two".