241949916 has 240 divisors, whose sum is σ = 751322880. Its totient is φ = 67184640.

The previous prime is 241949891. The next prime is 241949921. The reversal of 241949916 is 619949142.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2219670 + ... + 2219778.

It is an arithmetic number, because the mean of its divisors is an integer number (3130512).

Almost surely, 2^241949916 is an apocalyptic number.

241949916 is a gapful number since it is divisible by the number (26) 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 241949916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375661440).

241949916 is an abundant number, since it is smaller than the sum of its proper divisors (509372964).

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

241949916 is a wasteful number, since it uses less digits than its factorization.

241949916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 241949916 is about 15554.7393420783. The cubic root of 241949916 is about 623.1249754647.

The spelling of 241949916 in words is "two hundred forty-one million, nine hundred forty-nine thousand, nine hundred sixteen".