2226185640 has 768 divisors, whose sum is σ = 9455616000. Its totient is φ = 463034880.

The previous prime is 2226185639. The next prime is 2226185641. The reversal of 2226185640 is 465816222.

It is a happy number.

2226185640 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 1 + 8 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2226185639) and next prime (2226185641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2226185595 and 2226185604.

It is not an unprimeable number, because it can be changed into a prime (2226185641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37731931 + ... + 37731989.

It is an arithmetic number, because the mean of its divisors is an integer number (12312000).

Almost surely, 2^2226185640 is an apocalyptic number.

2226185640 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 2226185640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727808000).

2226185640 is an abundant number, since it is smaller than the sum of its proper divisors (7229430360).

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

2226185640 is a wasteful number, since it uses less digits than its factorization.

2226185640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2226185640 is about 47182.4717453420. The cubic root of 2226185640 is about 1305.7312324159.

The spelling of 2226185640 in words is "two billion, two hundred twenty-six million, one hundred eighty-five thousand, six hundred forty".