2442427000 has 128 divisors (see below), whose sum is σ = 6227020800. Its totient is φ = 891264000.

The previous prime is 2442426979. The next prime is 2442427061. The reversal of 2442427000 is 7242442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155945 + ... + 1158055.

It is an arithmetic number, because the mean of its divisors is an integer number (48648600).

Almost surely, 2^2442427000 is an apocalyptic number.

2442427000 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 2442427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113510400).

2442427000 is an abundant number, since it is smaller than the sum of its proper divisors (3784593800).

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

2442427000 is a wasteful number, since it uses less digits than its factorization.

2442427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 2442427000 is about 49420.9166244415. The cubic root of 2442427000 is about 1346.7093150018.

Adding to 2442427000 its reverse (7242442), we get a palindrome (2449669442).

The spelling of 2442427000 in words is "two billion, four hundred forty-two million, four hundred twenty-seven thousand".