2271729984 has 112 divisors (see below), whose sum is σ = 6398971200. Its totient is φ = 709226496.

The previous prime is 2271729979. The next prime is 2271730001. The reversal of 2271729984 is 4899271722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321174 + ... + 328170.

Almost surely, 2^2271729984 is an apocalyptic number.

2271729984 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 2271729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199485600).

2271729984 is an abundant number, since it is smaller than the sum of its proper divisors (4127241216).

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

2271729984 is a wasteful number, since it uses less digits than its factorization.

2271729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7110 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 2271729984 is about 47662.6686621721. The cubic root of 2271729984 is about 1314.5756092184.

The spelling of 2271729984 in words is "two billion, two hundred seventy-one million, seven hundred twenty-nine thousand, nine hundred eighty-four".