2226117824 has 84 divisors (see below), whose sum is σ = 5409270360. Its totient is φ = 903813120.

The previous prime is 2226117821. The next prime is 2226117827. The reversal of 2226117824 is 4287116222.

It is an interprime number because it is at equal distance from previous prime (2226117821) and next prime (2226117827).

It is not an unprimeable number, because it can be changed into a prime (2226117821) 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, 40904 + ... + 78264.

Almost surely, 2^2226117824 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 2226117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704635180).

2226117824 is an abundant number, since it is smaller than the sum of its proper divisors (3183152536).

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

2226117824 is a wasteful number, since it uses less digits than its factorization.

2226117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37406 (or 37389 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 2226117824 is about 47181.7530831571. The cubic root of 2226117824 is about 1305.7179735084.

The spelling of 2226117824 in words is "two billion, two hundred twenty-six million, one hundred seventeen thousand, eight hundred twenty-four".