2229104640 has 416 divisors, whose sum is σ = 8379196416. Its totient is φ = 495452160.

The previous prime is 2229104623. The next prime is 2229104653. The reversal of 2229104640 is 464019222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2229104598 and 2229104607.

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 31 ways as a sum of consecutive naturals, for example, 30535644 + ... + 30535716.

Almost surely, 2^2229104640 is an apocalyptic number.

2229104640 is a gapful number since it is divisible by the number (20) 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 2229104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189598208).

2229104640 is an abundant number, since it is smaller than the sum of its proper divisors (6150091776).

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

2229104640 is an equidigital number, since it uses as much as digits as its factorization.

2229104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2229104640 is about 47213.3947095525. The cubic root of 2229104640 is about 1306.3016797239.

The spelling of 2229104640 in words is "two billion, two hundred twenty-nine million, one hundred four thousand, six hundred forty".