2196311040 has 528 divisors, whose sum is σ = 9503320320. Its totient is φ = 455639040.

The previous prime is 2196311011. The next prime is 2196311041. The reversal of 2196311040 is 401136912.

2196311040 is a `hidden beast` number, since 2 + 19 + 631 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 2196310995 and 2196311013.

It is not an unprimeable number, because it can be changed into a prime (2196311041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3547851 + ... + 3548469.

Almost surely, 2^2196311040 is an apocalyptic number.

2196311040 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 2196311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751660160).

2196311040 is an abundant number, since it is smaller than the sum of its proper divisors (7307009280).

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

2196311040 is a wasteful number, since it uses less digits than its factorization.

2196311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2196311040 is about 46864.8166538609. The cubic root of 2196311040 is about 1299.8640962466.

Adding to 2196311040 its reverse (401136912), we get a palindrome (2597447952).

It can be divided in two parts, 2196 and 311040, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 2196311040 in words is "two billion, one hundred ninety-six million, three hundred eleven thousand, forty".