2282624736 has 384 divisors, whose sum is σ = 7638220800. Its totient is φ = 582266880.

The previous prime is 2282624651. The next prime is 2282624759. The reversal of 2282624736 is 6374262822.

It is a happy number.

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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28893945 + ... + 28894023.

It is an arithmetic number, because the mean of its divisors is an integer number (19891200).

Almost surely, 2^2282624736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282624736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819110400).

2282624736 is an abundant number, since it is smaller than the sum of its proper divisors (5355596064).

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

2282624736 is a wasteful number, since it uses less digits than its factorization.

2282624736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

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

The square root of 2282624736 is about 47776.8221630531. The cubic root of 2282624736 is about 1316.6737372335.

The spelling of 2282624736 in words is "two billion, two hundred eighty-two million, six hundred twenty-four thousand, seven hundred thirty-six".