2196384960 has 448 divisors, whose sum is σ = 8909328384. Its totient is φ = 445132800.

The previous prime is 2196384947. The next prime is 2196384961. The reversal of 2196384960 is 694836912.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2196384961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3178215 + ... + 3178905.

Almost surely, 2^2196384960 is an apocalyptic number.

2196384960 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 2196384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454664192).

2196384960 is an abundant number, since it is smaller than the sum of its proper divisors (6712943424).

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

2196384960 is a wasteful number, since it uses less digits than its factorization.

2196384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 2196384960 is about 46865.6052985556. The cubic root of 2196384960 is about 1299.8786790135.

The spelling of 2196384960 in words is "two billion, one hundred ninety-six million, three hundred eighty-four thousand, nine hundred sixty".