291982240 has 96 divisors (see below), whose sum is σ = 785344896. Its totient is φ = 101544960.

The previous prime is 291982193. The next prime is 291982267. The reversal of 291982240 is 42289192.

It is a self number, because there is not a number n which added to its sum of digits gives 291982240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36874 + ... + 44086.

It is an arithmetic number, because the mean of its divisors is an integer number (8180676).

Almost surely, 2^291982240 is an apocalyptic number.

291982240 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 291982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392672448).

291982240 is an abundant number, since it is smaller than the sum of its proper divisors (493362656).

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

291982240 is a wasteful number, since it uses less digits than its factorization.

291982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 291982240 is about 17087.4878200396. The cubic root of 291982240 is about 663.4152930779.

The spelling of 291982240 in words is "two hundred ninety-one million, nine hundred eighty-two thousand, two hundred forty".