2726836224 has 384 divisors, whose sum is σ = 9057484800. Its totient is φ = 712212480.

The previous prime is 2726836223. The next prime is 2726836237. The reversal of 2726836224 is 4226386272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726836223) 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, 38406109 + ... + 38406179.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^2726836224 is an apocalyptic number.

2726836224 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 2726836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2726836224 is an abundant number, since it is smaller than the sum of its proper divisors (6330648576).

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

2726836224 is a wasteful number, since it uses less digits than its factorization.

2726836224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 2726836224 is about 52219.1174188151. The cubic root of 2726836224 is about 1397.0748830834.

The spelling of 2726836224 in words is "two billion, seven hundred twenty-six million, eight hundred thirty-six thousand, two hundred twenty-four".