2220795712152 has 192 divisors, whose sum is σ = 6259200480000. Its totient is φ = 710479123200.

The previous prime is 2220795712151. The next prime is 2220795712193. The reversal of 2220795712152 is 2512175970222.

2220795712152 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 7 + 9 + 571 + 21 + 52 = 666.

It is a super-2 number, since 2×2220795712152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220795712098 and 2220795712107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220795712151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 636147127 + ... + 636150617.

It is an arithmetic number, because the mean of its divisors is an integer number (32600002500).

Almost surely, 2^{2220795712152} 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 2220795712152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129600240000).

2220795712152 is an abundant number, since it is smaller than the sum of its proper divisors (4038404767848).

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

2220795712152 is a wasteful number, since it uses less digits than its factorization.

2220795712152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 2220795712152 in words is "two trillion, two hundred twenty billion, seven hundred ninety-five million, seven hundred twelve thousand, one hundred fifty-two".