242511024400 has 30 divisors (see below), whose sum is σ = 582632737082. Its totient is φ = 97004409600.

The previous prime is 242511024389. The next prime is 242511024433. The reversal of 242511024400 is 4420115242.

It can be written as a sum of positive squares in 3 ways, for example, as 8827729936 + 233683294464 = 93956^2 + 483408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 303138381 + ... + 303139180.

Almost surely, 2^242511024400 is an apocalyptic number.

242511024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242511024400 is an abundant number, since it is smaller than the sum of its proper divisors (340121712682).

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

242511024400 is a wasteful number, since it uses less digits than its factorization.

242511024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606277579 (or 606277568 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 242511024400 its reverse (4420115242), we get a palindrome (246931139642).

The spelling of 242511024400 in words is "two hundred forty-two billion, five hundred eleven million, twenty-four thousand, four hundred".