2196611136 has 294 divisors, whose sum is σ = 6908623470. Its totient is φ = 692499456.

The previous prime is 2196611111. The next prime is 2196611141. The reversal of 2196611136 is 6311166912.

2196611136 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 611 + 1 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1579585536 + 617025600 = 39744^2 + 24840^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2196611136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 24680980 + ... + 24681068.

Almost surely, 2^2196611136 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 2196611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454311735).

2196611136 is an abundant number, since it is smaller than the sum of its proper divisors (4712012334).

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

2196611136 is an frugal number, since it uses more digits than its factorization.

2196611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 117 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2196611136 is about 46868.0182640572. The cubic root of 2196611136 is about 1299.9232964606.

The spelling of 2196611136 in words is "two billion, one hundred ninety-six million, six hundred eleven thousand, one hundred thirty-six".