2226432780 has 288 divisors, whose sum is σ = 8058855168. Its totient is φ = 490406400.

The previous prime is 2226432779. The next prime is 2226432797. The reversal of 2226432780 is 872346222.

It is a happy number.

2226432780 is a `hidden beast` number, since 2 + 2 + 2 + 643 + 2 + 7 + 8 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1723935 + ... + 1725225.

It is an arithmetic number, because the mean of its divisors is an integer number (27982136).

Almost surely, 2^2226432780 is an apocalyptic number.

2226432780 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 2226432780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029427584).

2226432780 is an abundant number, since it is smaller than the sum of its proper divisors (5832422388).

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

2226432780 is a wasteful number, since it uses less digits than its factorization.

2226432780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2226432780 is about 47185.0906537224. The cubic root of 2226432780 is about 1305.7795492125.

The spelling of 2226432780 in words is "two billion, two hundred twenty-six million, four hundred thirty-two thousand, seven hundred eighty".