2272734720 has 320 divisors, whose sum is σ = 8166977280. Its totient is φ = 599040000.

The previous prime is 2272734707. The next prime is 2272734721. The reversal of 2272734720 is 274372722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272734721) 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, 9054595 + ... + 9054845.

It is an arithmetic number, because the mean of its divisors is an integer number (25521804).

Almost surely, 2^2272734720 is an apocalyptic number.

2272734720 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 2272734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083488640).

2272734720 is an abundant number, since it is smaller than the sum of its proper divisors (5894242560).

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

2272734720 is a wasteful number, since it uses less digits than its factorization.

2272734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 2272734720 is about 47673.2075698709. The cubic root of 2272734720 is about 1314.7693832403.

The spelling of 2272734720 in words is "two billion, two hundred seventy-two million, seven hundred thirty-four thousand, seven hundred twenty".