242631600 has 240 divisors, whose sum is σ = 830304000. Its totient is φ = 60431360.

The previous prime is 242631581. The next prime is 242631601. The reversal of 242631600 is 6136242.

242631600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242631601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1628326 + ... + 1628474.

It is an arithmetic number, because the mean of its divisors is an integer number (3459600).

Almost surely, 2^242631600 is an apocalyptic number.

242631600 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 242631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152000).

242631600 is an abundant number, since it is smaller than the sum of its proper divisors (587672400).

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

242631600 is a wasteful number, since it uses less digits than its factorization.

242631600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 242631600 is about 15576.6363506375. The cubic root of 242631600 is about 623.7096364391.

Adding to 242631600 its reverse (6136242), we get a palindrome (248767842).

The spelling of 242631600 in words is "two hundred forty-two million, six hundred thirty-one thousand, six hundred".