2734228224 has 756 divisors, whose sum is σ = 10696832496. Its totient is φ = 689762304.

The previous prime is 2734228223. The next prime is 2734228249. The reversal of 2734228224 is 4228224372.

2734228224 is a `hidden beast` number, since 2 + 7 + 3 + 422 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (86016) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734228223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 118879477 + ... + 118879499.

Almost surely, 2^2734228224 is an apocalyptic number.

2734228224 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 2734228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348416248).

2734228224 is an abundant number, since it is smaller than the sum of its proper divisors (7962604272).

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

2734228224 is an equidigital number, since it uses as much as digits as its factorization.

2734228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 2734228224 is about 52289.8481925507. The cubic root of 2734228224 is about 1398.3361567063.

The spelling of 2734228224 in words is "two billion, seven hundred thirty-four million, two hundred twenty-eight thousand, two hundred twenty-four".