2212564896 has 120 divisors (see below), whose sum is σ = 6849722880. Its totient is φ = 698689152.

The previous prime is 2212564867. The next prime is 2212564901. The reversal of 2212564896 is 6984652122.

2212564896 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 564 + 89 + 6 = 666.

It is a super-2 number, since 2×2212564896² = 9790886838022981632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26785 + ... + 71711.

It is an arithmetic number, because the mean of its divisors is an integer number (57081024).

Almost surely, 2^2212564896 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 2212564896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424861440).

2212564896 is an abundant number, since it is smaller than the sum of its proper divisors (4637157984).

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

2212564896 is a wasteful number, since it uses less digits than its factorization.

2212564896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44968 (or 44951 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2212564896 is about 47037.9091372055. The cubic root of 2212564896 is about 1303.0627776926.

The spelling of 2212564896 in words is "two billion, two hundred twelve million, five hundred sixty-four thousand, eight hundred ninety-six".