2193004800 has 864 divisors, whose sum is σ = 9631328000. Its totient is φ = 487710720.

The previous prime is 2193004789. The next prime is 2193004831. The reversal of 2193004800 is 84003912.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59270382 + ... + 59270418.

Almost surely, 2^2193004800 is an apocalyptic number.

2193004800 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 2193004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815664000).

2193004800 is an abundant number, since it is smaller than the sum of its proper divisors (7438323200).

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

2193004800 is an equidigital number, since it uses as much as digits as its factorization.

2193004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2193004800 is about 46829.5291456149. The cubic root of 2193004800 is about 1299.2115139685.

The spelling of 2193004800 in words is "two billion, one hundred ninety-three million, four thousand, eight hundred".