2219212800 has 576 divisors, whose sum is σ = 9296532960. Its totient is φ = 495452160.

The previous prime is 2219212783. The next prime is 2219212811. The reversal of 2219212800 is 82129122.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51609579 + ... + 51609621.

Almost surely, 2^2219212800 is an apocalyptic number.

2219212800 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 2219212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648266480).

2219212800 is an abundant number, since it is smaller than the sum of its proper divisors (7077320160).

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

2219212800 is an equidigital number, since it uses as much as digits as its factorization.

2219212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2219212800 is about 47108.5215221195. The cubic root of 2219212800 is about 1304.3665397895.

The spelling of 2219212800 in words is "two billion, two hundred nineteen million, two hundred twelve thousand, eight hundred".