241892040 has 128 divisors (see below), whose sum is σ = 822729600. Its totient is φ = 56401920.

The previous prime is 241892029. The next prime is 241892041. The reversal of 241892040 is 40298142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241891989 and 241892007.

It is not an unprimeable number, because it can be changed into a prime (241892041) 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, 25560 + ... + 33720.

It is an arithmetic number, because the mean of its divisors is an integer number (6427575).

Almost surely, 2^241892040 is an apocalyptic number.

241892040 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 241892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411364800).

241892040 is an abundant number, since it is smaller than the sum of its proper divisors (580837560).

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

241892040 is a wasteful number, since it uses less digits than its factorization.

241892040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8207 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 241892040 is about 15552.8788331936. The cubic root of 241892040 is about 623.0752863146.

The spelling of 241892040 in words is "two hundred forty-one million, eight hundred ninety-two thousand, forty".