2442442000 has 40 divisors (see below), whose sum is σ = 5905829592. Its totient is φ = 976976000.

The previous prime is 2442441979. The next prime is 2442442019. The reversal of 2442442000 is 2442442.

It can be written as a sum of positive squares in 4 ways, for example, as 67634176 + 2374807824 = 8224^2 + 48732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608611 + ... + 612610.

Almost surely, 2^2442442000 is an apocalyptic number.

2442442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442442000 is an abundant number, since it is smaller than the sum of its proper divisors (3463387592).

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

2442442000 is a wasteful number, since it uses less digits than its factorization.

2442442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221244 (or 1221228 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2442442000 is about 49421.0683818147. The cubic root of 2442442000 is about 1346.7120719041.

Adding to 2442442000 its reverse (2442442), we get a palindrome (2444884442).

2442442000 divided by its reverse (2442442) gives a cube (1000 = 10³).

The spelling of 2442442000 in words is "two billion, four hundred forty-two million, four hundred forty-two thousand".