2268872072544 has 288 divisors, whose sum is σ = 7486723641600. Its totient is φ = 588918021120.

The previous prime is 2268872072543. The next prime is 2268872072653. The reversal of 2268872072544 is 4452702788622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268872072543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131147607 + ... + 131164905.

It is an arithmetic number, because the mean of its divisors is an integer number (25995568200).

Almost surely, 2^{2268872072544} is an apocalyptic number.

2268872072544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268872072544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743361820800).

2268872072544 is an abundant number, since it is smaller than the sum of its proper divisors (5217851569056).

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

2268872072544 is a wasteful number, since it uses less digits than its factorization.

2268872072544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 2268872072544 in words is "two trillion, two hundred sixty-eight billion, eight hundred seventy-two million, seventy-two thousand, five hundred forty-four".