2220564600 has 72 divisors (see below), whose sum is σ = 7457402160. Its totient is φ = 592150080.

The previous prime is 2220564587. The next prime is 2220564613. The reversal of 2220564600 is 64650222.

2220564600 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 56 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2220564587) and next prime (2220564613).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 615024 + ... + 618623.

It is an arithmetic number, because the mean of its divisors is an integer number (103575030).

Almost surely, 2^2220564600 is an apocalyptic number.

2220564600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220564600 is an abundant number, since it is smaller than the sum of its proper divisors (5236837560).

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

2220564600 is a wasteful number, since it uses less digits than its factorization.

2220564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233669 (or 1233657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2220564600 is about 47122.8670604835. The cubic root of 2220564600 is about 1304.6313310993.

The spelling of 2220564600 in words is "two billion, two hundred twenty million, five hundred sixty-four thousand, six hundred".