2242604000 has 384 divisors, whose sum is σ = 6961054464. Its totient is φ = 691200000.

The previous prime is 2242603969. The next prime is 2242604009. The reversal of 2242604000 is 4062422.

2242604000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242604009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22203950 + ... + 22204050.

It is an arithmetic number, because the mean of its divisors is an integer number (18127746).

Almost surely, 2^2242604000 is an apocalyptic number.

2242604000 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 2242604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480527232).

2242604000 is an abundant number, since it is smaller than the sum of its proper divisors (4718450464).

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

2242604000 is a wasteful number, since it uses less digits than its factorization.

2242604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2242604000 is about 47356.1400454049. The cubic root of 2242604000 is about 1308.9333430119.

Adding to 2242604000 its reverse (4062422), we get a palindrome (2246666422).

The spelling of 2242604000 in words is "two billion, two hundred forty-two million, six hundred four thousand".