2442035120 has 80 divisors (see below), whose sum is σ = 6770995200. Its totient is φ = 800861952.

The previous prime is 2442035117. The next prime is 2442035129. The reversal of 2442035120 is 215302442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2442035129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81920 + ... + 107679.

It is an arithmetic number, because the mean of its divisors is an integer number (84637440).

Almost surely, 2^2442035120 is an apocalyptic number.

2442035120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442035120 is an abundant number, since it is smaller than the sum of its proper divisors (4328960080).

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

2442035120 is a wasteful number, since it uses less digits than its factorization.

2442035120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189642 (or 189636 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2442035120 is about 49416.9517473508. The cubic root of 2442035120 is about 1346.6372860085.

Adding to 2442035120 its reverse (215302442), we get a palindrome (2657337562).

The spelling of 2442035120 in words is "two billion, four hundred forty-two million, thirty-five thousand, one hundred twenty".