2224836768 has 576 divisors, whose sum is σ = 8163348480. Its totient is φ = 522547200.

The previous prime is 2224836763. The next prime is 2224836781. The reversal of 2224836768 is 8676384222.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (2224836763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30477180 + ... + 30477252.

It is an arithmetic number, because the mean of its divisors is an integer number (14172480).

Almost surely, 2^2224836768 is an apocalyptic number.

2224836768 is a gapful number since it is divisible by the number (28) 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 2224836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081674240).

2224836768 is an abundant number, since it is smaller than the sum of its proper divisors (5938511712).

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

2224836768 is a wasteful number, since it uses less digits than its factorization.

2224836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 2224836768 is about 47168.1753728083. The cubic root of 2224836768 is about 1305.4674598430.

The spelling of 2224836768 in words is "two billion, two hundred twenty-four million, eight hundred thirty-six thousand, seven hundred sixty-eight".