2255724384 has 72 divisors (see below), whose sum is σ = 6249421080. Its totient is φ = 712323072.

The previous prime is 2255724353. The next prime is 2255724389. The reversal of 2255724384 is 4834275522.

2255724384 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 super-3 number, since 3×2255724384³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255724389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2112 + ... + 67200.

It is an arithmetic number, because the mean of its divisors is an integer number (86797515).

Almost surely, 2^2255724384 is an apocalyptic number.

2255724384 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 2255724384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124710540).

2255724384 is an abundant number, since it is smaller than the sum of its proper divisors (3993696696).

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

2255724384 is a wasteful number, since it uses less digits than its factorization.

2255724384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65140 (or 65113 counting only the distinct ones).

The product of its digits is 537600, while the sum is 42.

The square root of 2255724384 is about 47494.4668777322. The cubic root of 2255724384 is about 1311.4810249117.

The spelling of 2255724384 in words is "two billion, two hundred fifty-five million, seven hundred twenty-four thousand, three hundred eighty-four".