241689888 has 288 divisors, whose sum is σ = 815173632. Its totient is φ = 67161600.

The previous prime is 241689881. The next prime is 241689947. The reversal of 241689888 is 888986142.

241689888 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 (288).

It is a super-2 number, since 2×241689888² = 116828003922905088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241689881) 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, 2258731 + ... + 2258837.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^241689888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407586816).

241689888 is an abundant number, since it is smaller than the sum of its proper divisors (573483744).

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

241689888 is a wasteful number, since it uses less digits than its factorization.

241689888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 241689888 is about 15546.3786136836. The cubic root of 241689888 is about 622.9016675118.

The spelling of 241689888 in words is "two hundred forty-one million, six hundred eighty-nine thousand, eight hundred eighty-eight".