2226519360 has 448 divisors, whose sum is σ = 8674364160. Its totient is φ = 534159360.

The previous prime is 2226519353. The next prime is 2226519371. The reversal of 2226519360 is 639156222.

2226519360 is a `hidden beast` number, since 22 + 265 + 19 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829530 + ... + 4829990.

It is an arithmetic number, because the mean of its divisors is an integer number (19362420).

Almost surely, 2^2226519360 is an apocalyptic number.

2226519360 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 2226519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337182080).

2226519360 is an abundant number, since it is smaller than the sum of its proper divisors (6447844800).

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

2226519360 is a wasteful number, since it uses less digits than its factorization.

2226519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2226519360 is about 47186.0080956209. The cubic root of 2226519360 is about 1305.7964750813.

The spelling of 2226519360 in words is "two billion, two hundred twenty-six million, five hundred nineteen thousand, three hundred sixty".