2220664506120 has 256 divisors, whose sum is σ = 7527188736000. Its totient is φ = 582213443328.

The previous prime is 2220664506083. The next prime is 2220664506133. The reversal of 2220664506120 is 216054660222.

2220664506120 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 6 + 645 + 0 + 6 + 1 + 2 + 0 = 666.

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

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, 37814941 + ... + 37873619.

It is an arithmetic number, because the mean of its divisors is an integer number (29403081000).

Almost surely, 2^{2220664506120} is an apocalyptic number.

2220664506120 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 2220664506120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763594368000).

2220664506120 is an abundant number, since it is smaller than the sum of its proper divisors (5306524229880).

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

2220664506120 is a wasteful number, since it uses less digits than its factorization.

2220664506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59289 (or 59279 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2220664506120 in words is "two trillion, two hundred twenty billion, six hundred sixty-four million, five hundred six thousand, one hundred twenty".