290530289434880 has 2304 divisors, whose sum is σ = 863918977646592. Its totient is φ = 92493840384000.

The previous prime is 290530289434873. The next prime is 290530289434897. The reversal of 290530289434880 is 88434982035092.

It is a super-2 number, since 2×290530289434880² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2995157622992 + ... + 2995157623088.

It is an arithmetic number, because the mean of its divisors is an integer number (374964834048).

Almost surely, 2^{290530289434880} is an apocalyptic number.

290530289434880 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 290530289434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431959488823296).

290530289434880 is an abundant number, since it is smaller than the sum of its proper divisors (573388688211712).

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

290530289434880 is a wasteful number, since it uses less digits than its factorization.

290530289434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 65.

The spelling of 290530289434880 in words is "two hundred ninety trillion, five hundred thirty billion, two hundred eighty-nine million, four hundred thirty-four thousand, eight hundred eighty".