2221731072 has 144 divisors (see below), whose sum is σ = 7167572160. Its totient is φ = 673228800.

The previous prime is 2221731019. The next prime is 2221731073. The reversal of 2221731072 is 2701371222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221731073) 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, 61422 + ... + 90642.

Almost surely, 2^2221731072 is an apocalyptic number.

2221731072 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 2221731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583786080).

2221731072 is an abundant number, since it is smaller than the sum of its proper divisors (4945841088).

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

2221731072 is a wasteful number, since it uses less digits than its factorization.

2221731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29257 (or 29237 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2221731072 is about 47135.2423564364. The cubic root of 2221731072 is about 1304.8597339003.

The spelling of 2221731072 in words is "two billion, two hundred twenty-one million, seven hundred thirty-one thousand, seventy-two".