2226649824 has 288 divisors, whose sum is σ = 7903284480. Its totient is φ = 602422272.

The previous prime is 2226649813. The next prime is 2226649847. The reversal of 2226649824 is 4289466222.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2226649824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033132 + ... + 1035284.

It is an arithmetic number, because the mean of its divisors is an integer number (27441960).

Almost surely, 2^2226649824 is an apocalyptic number.

2226649824 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 2226649824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951642240).

2226649824 is an abundant number, since it is smaller than the sum of its proper divisors (5676634656).

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

2226649824 is a wasteful number, since it uses less digits than its factorization.

2226649824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2184 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2226649824 is about 47187.3905190783. The cubic root of 2226649824 is about 1305.8219791794.

The spelling of 2226649824 in words is "two billion, two hundred twenty-six million, six hundred forty-nine thousand, eight hundred twenty-four".