2442150400 has 60 divisors (see below), whose sum is σ = 6050650122. Its totient is φ = 976855040.

The previous prime is 2442150343. The next prime is 2442150443. The reversal of 2442150400 is 40512442.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2148507904 + 293642496 = 46352^2 + 17136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82597 + ... + 108196.

Almost surely, 2^2442150400 is an apocalyptic number.

2442150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442150400 is an abundant number, since it is smaller than the sum of its proper divisors (3608499722).

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

2442150400 is an equidigital number, since it uses as much as digits as its factorization.

2442150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190821 (or 190800 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2442150400 is about 49418.1181349513. The cubic root of 2442150400 is about 1346.6584756987.

Adding to 2442150400 its reverse (40512442), we get a palindrome (2482662842).

The spelling of 2442150400 in words is "two billion, four hundred forty-two million, one hundred fifty thousand, four hundred".