2196868800 has 336 divisors, whose sum is σ = 8310912512. Its totient is φ = 497664000.

The previous prime is 2196868771. The next prime is 2196868819. The reversal of 2196868800 is 88686912.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2196868800.

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 47 ways as a sum of consecutive naturals, for example, 5073384 + ... + 5073816.

Almost surely, 2^2196868800 is an apocalyptic number.

2196868800 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 2196868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155456256).

2196868800 is an abundant number, since it is smaller than the sum of its proper divisors (6114043712).

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

2196868800 is a wasteful number, since it uses less digits than its factorization.

2196868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 2196868800 is about 46870.7670088724. The cubic root of 2196868800 is about 1299.9741217728.

The spelling of 2196868800 in words is "two billion, one hundred ninety-six million, eight hundred sixty-eight thousand, eight hundred".