2220547465152 has 672 divisors, whose sum is σ = 6920975093760. Its totient is φ = 679311360000.

The previous prime is 2220547465141. The next prime is 2220547465207. The reversal of 2220547465152 is 2515647450222.

2220547465152 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 547 + 4 + 6 + 51 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2220547465098 and 2220547465107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5858964099 + ... + 5858964477.

It is an arithmetic number, because the mean of its divisors is an integer number (10299070080).

Almost surely, 2^{2220547465152} 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 2220547465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460487546880).

2220547465152 is an abundant number, since it is smaller than the sum of its proper divisors (4700427628608).

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

2220547465152 is a wasteful number, since it uses less digits than its factorization.

2220547465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 2220547465152 in words is "two trillion, two hundred twenty billion, five hundred forty-seven million, four hundred sixty-five thousand, one hundred fifty-two".