240971220 has 192 divisors, whose sum is σ = 874944000. Its totient is φ = 55036800.

The previous prime is 240971191. The next prime is 240971221. The reversal of 240971220 is 22179042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240971221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184570 + ... + 185870.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2^240971220 is an apocalyptic number.

240971220 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 240971220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

240971220 is an abundant number, since it is smaller than the sum of its proper divisors (633972780).

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

240971220 is a wasteful number, since it uses less digits than its factorization.

240971220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 240971220 is about 15523.2477271994. The cubic root of 240971220 is about 622.2836524998.

The spelling of 240971220 in words is "two hundred forty million, nine hundred seventy-one thousand, two hundred twenty".