241082688 has 224 divisors, whose sum is σ = 831006720. Its totient is φ = 59811840.

The previous prime is 241082687. The next prime is 241082689. The reversal of 241082688 is 886280142.

It is an interprime number because it is at equal distance from previous prime (241082687) and next prime (241082689).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241082687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339678 + ... + 340386.

Almost surely, 2^241082688 is an apocalyptic number.

241082688 is a gapful number since it is divisible by the number (28) 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 241082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415503360).

241082688 is an abundant number, since it is smaller than the sum of its proper divisors (589924032).

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

241082688 is a wasteful number, since it uses less digits than its factorization.

241082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 241082688 is about 15526.8376690168. The cubic root of 241082688 is about 622.3795892973.

It can be divided in two parts, 24108 and 2688, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 241082688 in words is "two hundred forty-one million, eighty-two thousand, six hundred eighty-eight".