290241304080 has 640 divisors, whose sum is σ = 1134594048000. Its totient is φ = 60988225536.

The previous prime is 290241304057. The next prime is 290241304097. The reversal of 290241304080 is 80403142092.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 392748351 + ... + 392749089.

It is an arithmetic number, because the mean of its divisors is an integer number (1772803200).

Almost surely, 2^290241304080 is an apocalyptic number.

290241304080 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 290241304080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567297024000).

290241304080 is an abundant number, since it is smaller than the sum of its proper divisors (844352743920).

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

290241304080 is a wasteful number, since it uses less digits than its factorization.

290241304080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 290241304080 in words is "two hundred ninety billion, two hundred forty-one million, three hundred four thousand, eighty".