242201040 has 320 divisors, whose sum is σ = 867801600. Its totient is φ = 55508992.

The previous prime is 242200991. The next prime is 242201041. The reversal of 242201040 is 40102242.

It is a super-2 number, since 2×242201040² = 117322687554163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242201041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2721316 + ... + 2721404.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^242201040 is an apocalyptic number.

242201040 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 242201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433900800).

242201040 is an abundant number, since it is smaller than the sum of its proper divisors (625600560).

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

242201040 is a wasteful number, since it uses less digits than its factorization.

242201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 242201040 is about 15562.8095149944. The cubic root of 242201040 is about 623.3404849825.

Adding to 242201040 its reverse (40102242), we get a palindrome (282303282).

The spelling of 242201040 in words is "two hundred forty-two million, two hundred one thousand, forty".