2272782720 has 512 divisors, whose sum is σ = 8439137280. Its totient is φ = 515801088.

The previous prime is 2272782647. The next prime is 2272782731. The reversal of 2272782720 is 272872722.

2272782720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21240907 + ... + 21241013.

It is an arithmetic number, because the mean of its divisors is an integer number (16482690).

Almost surely, 2^2272782720 is an apocalyptic number.

2272782720 is a gapful number since it is divisible by the number (20) 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 2272782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219568640).

2272782720 is an abundant number, since it is smaller than the sum of its proper divisors (6166354560).

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

2272782720 is a wasteful number, since it uses less digits than its factorization.

2272782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 2272782720 is about 47673.7109946352. The cubic root of 2272782720 is about 1314.7786391212.

The spelling of 2272782720 in words is "two billion, two hundred seventy-two million, seven hundred eighty-two thousand, seven hundred twenty".