2221864560 has 160 divisors (see below), whose sum is σ = 8056032000. Its totient is φ = 561302784.

The previous prime is 2221864553. The next prime is 2221864571. The reversal of 2221864560 is 654681222.

It is a happy number.

2221864560 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 8 + 645 + 6 + 0 = 666.

2221864560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 13971 + ... + 68109.

It is an arithmetic number, because the mean of its divisors is an integer number (50350200).

Almost surely, 2^2221864560 is an apocalyptic number.

2221864560 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 2221864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028016000).

2221864560 is an abundant number, since it is smaller than the sum of its proper divisors (5834167440).

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

2221864560 is a wasteful number, since it uses less digits than its factorization.

2221864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54180 (or 54168 counting only the distinct ones).

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

The square root of 2221864560 is about 47136.6583457080. The cubic root of 2221864560 is about 1304.8858666203.

The spelling of 2221864560 in words is "two billion, two hundred twenty-one million, eight hundred sixty-four thousand, five hundred sixty".