241972920 has 320 divisors, whose sum is σ = 953441280. Its totient is φ = 53892864.

The previous prime is 241972891. The next prime is 241972937. The reversal of 241972920 is 29279142.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1065847 + ... + 1066073.

It is an arithmetic number, because the mean of its divisors is an integer number (2979504).

Almost surely, 2^241972920 is an apocalyptic number.

241972920 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 241972920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476720640).

241972920 is an abundant number, since it is smaller than the sum of its proper divisors (711468360).

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

241972920 is a wasteful number, since it uses less digits than its factorization.

241972920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 241972920 is about 15555.4787775883. The cubic root of 241972920 is about 623.1447232330.

The spelling of 241972920 in words is "two hundred forty-one million, nine hundred seventy-two thousand, nine hundred twenty".