242041800 has 576 divisors, whose sum is σ = 1045647360. Its totient is φ = 44928000.

The previous prime is 242041771. The next prime is 242041823. The reversal of 242041800 is 8140242.

242041800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7807785 + ... + 7807815.

It is an arithmetic number, because the mean of its divisors is an integer number (1815360).

Almost surely, 2^242041800 is an apocalyptic number.

242041800 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 242041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522823680).

242041800 is an abundant number, since it is smaller than the sum of its proper divisors (803605560).

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

242041800 is a wasteful number, since it uses less digits than its factorization.

242041800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 242041800 is about 15557.6926309784. The cubic root of 242041800 is about 623.2038457393.

The spelling of 242041800 in words is "two hundred forty-two million, forty-one thousand, eight hundred".