2244129272 has 128 divisors (see below), whose sum is σ = 5458752000. Its totient is φ = 839247360.

The previous prime is 2244129271. The next prime is 2244129299. The reversal of 2244129272 is 2729214422.

It is a super-2 number, since 2×2244129272² = 10072232378894499968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244129271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4805183 + ... + 4805649.

It is an arithmetic number, because the mean of its divisors is an integer number (42646500).

Almost surely, 2^2244129272 is an apocalyptic number.

2244129272 is a gapful number since it is divisible by the number (22) 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 2244129272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729376000).

2244129272 is an abundant number, since it is smaller than the sum of its proper divisors (3214622728).

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

2244129272 is a wasteful number, since it uses less digits than its factorization.

2244129272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 2244129272 is about 47372.2415766871. The cubic root of 2244129272 is about 1309.2300259341.

The spelling of 2244129272 in words is "two billion, two hundred forty-four million, one hundred twenty-nine thousand, two hundred seventy-two".