2724224256 has 216 divisors, whose sum is σ = 8905871520. Its totient is φ = 793939968.

The previous prime is 2724224249. The next prime is 2724224267. The reversal of 2724224256 is 6524224272.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2724224256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566695 + ... + 571481.

Almost surely, 2^2724224256 is an apocalyptic number.

2724224256 is a gapful number since it is divisible by the number (26) 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 2724224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452935760).

2724224256 is an abundant number, since it is smaller than the sum of its proper divisors (6181647264).

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

2724224256 is a wasteful number, since it uses less digits than its factorization.

2724224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4824 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 2724224256 is about 52194.1017357326. The cubic root of 2724224256 is about 1396.6286662543.

The spelling of 2724224256 in words is "two billion, seven hundred twenty-four million, two hundred twenty-four thousand, two hundred fifty-six".