2226814560 has 72 divisors (see below), whose sum is σ = 7599009600. Its totient is φ = 593816832.

The previous prime is 2226814517. The next prime is 2226814589. The reversal of 2226814560 is 654186222.

It is a happy number.

2226814560 is a `hidden beast` number, since 2 + 22 + 68 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 771760 + ... + 774639.

It is an arithmetic number, because the mean of its divisors is an integer number (105541800).

Almost surely, 2^2226814560 is an apocalyptic number.

2226814560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226814560 is an abundant number, since it is smaller than the sum of its proper divisors (5372195040).

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

2226814560 is a wasteful number, since it uses less digits than its factorization.

2226814560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546420 (or 1546409 counting only the distinct ones).

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

The square root of 2226814560 is about 47189.1360378636. The cubic root of 2226814560 is about 1305.8541816063.

The spelling of 2226814560 in words is "two billion, two hundred twenty-six million, eight hundred fourteen thousand, five hundred sixty".