2205792000 has 720 divisors, whose sum is σ = 8796820032. Its totient is φ = 547430400.

The previous prime is 2205791993. The next prime is 2205792047. The reversal of 2205792000 is 2975022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59615982 + ... + 59616018.

Almost surely, 2^2205792000 is an apocalyptic number.

2205792000 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 2205792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398410016).

2205792000 is an abundant number, since it is smaller than the sum of its proper divisors (6591028032).

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

2205792000 is an equidigital number, since it uses as much as digits as its factorization.

2205792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2205792000 is about 46965.8599410252. The cubic root of 2205792000 is about 1301.7318142016.

The spelling of 2205792000 in words is "two billion, two hundred five million, seven hundred ninety-two thousand".