2267220564 has 96 divisors (see below), whose sum is σ = 6812467200. Its totient is φ = 638638560.

The previous prime is 2267220563. The next prime is 2267220577. The reversal of 2267220564 is 4650227622.

2267220564 is a `hidden beast` number, since 2 + 2 + 6 + 72 + 20 + 564 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267220563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32557 + ... + 74795.

It is an arithmetic number, because the mean of its divisors is an integer number (70963200).

Almost surely, 2^2267220564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2267220564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406233600).

2267220564 is an abundant number, since it is smaller than the sum of its proper divisors (4545246636).

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

2267220564 is a wasteful number, since it uses less digits than its factorization.

2267220564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42330 (or 42322 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2267220564 is about 47615.3395871541. The cubic root of 2267220564 is about 1313.7052152469.

The spelling of 2267220564 in words is "two billion, two hundred sixty-seven million, two hundred twenty thousand, five hundred sixty-four".