2242374336 has 126 divisors (see below), whose sum is σ = 6643023036. Its totient is φ = 723168000.

The previous prime is 2242374331. The next prime is 2242374347. The reversal of 2242374336 is 6334732422.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 2242374336.

It is not an unprimeable number, because it can be changed into a prime (2242374331) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 551511 + ... + 555561.

Almost surely, 2^2242374336 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 2242374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321511518).

2242374336 is an abundant number, since it is smaller than the sum of its proper divisors (4400648700).

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

2242374336 is a wasteful number, since it uses less digits than its factorization.

2242374336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4087 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The square root of 2242374336 is about 47353.7151235254. The cubic root of 2242374336 is about 1308.8886590745. Note that the first 3 decimals are identical.

The spelling of 2242374336 in words is "two billion, two hundred forty-two million, three hundred seventy-four thousand, three hundred thirty-six".