2196361440 has 768 divisors, whose sum is σ = 9781309440. Its totient is φ = 447897600.

The previous prime is 2196361417. The next prime is 2196361457. The reversal of 2196361440 is 441636912.

2196361440 is a `hidden beast` number, since 2 + 1 + 9 + 636 + 14 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2196361395 and 2196361404.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 14545365 + ... + 14545515.

It is an arithmetic number, because the mean of its divisors is an integer number (12736080).

Almost surely, 2^2196361440 is an apocalyptic number.

2196361440 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 2196361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890654720).

2196361440 is an abundant number, since it is smaller than the sum of its proper divisors (7584948000).

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

2196361440 is a wasteful number, since it uses less digits than its factorization.

2196361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2196361440 is about 46865.3543675923. The cubic root of 2196361440 is about 1299.8740390777.

The spelling of 2196361440 in words is "two billion, one hundred ninety-six million, three hundred sixty-one thousand, four hundred forty".