2245194000 has 480 divisors, whose sum is σ = 9101274624. Its totient is φ = 505267200.

The previous prime is 2245193987. The next prime is 2245194031. The reversal of 2245194000 is 4915422.

2245194000 is a `hidden beast` number, since 2 + 245 + 19 + 400 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12977914 + ... + 12978086.

Almost surely, 2^2245194000 is an apocalyptic number.

2245194000 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 2245194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550637312).

2245194000 is an abundant number, since it is smaller than the sum of its proper divisors (6856080624).

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

2245194000 is a wasteful number, since it uses less digits than its factorization.

2245194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2245194000 is about 47383.4781332059. The cubic root of 2245194000 is about 1309.4370480941.

The spelling of 2245194000 in words is "two billion, two hundred forty-five million, one hundred ninety-four thousand".