290882980080 has 480 divisors, whose sum is σ = 1225440852480. Its totient is φ = 60070533120.

The previous prime is 290882980039. The next prime is 290882980111. The reversal of 290882980080 is 80089288092.

It is a super-2 number, since 2×290882980080² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 290882979999 and 290882980026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9020626 + ... + 9052814.

It is an arithmetic number, because the mean of its divisors is an integer number (2553001776).

Almost surely, 2^290882980080 is an apocalyptic number.

290882980080 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 290882980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612720426240).

290882980080 is an abundant number, since it is smaller than the sum of its proper divisors (934557872400).

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

290882980080 is a wasteful number, since it uses less digits than its factorization.

290882980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32389 (or 32380 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 290882980080 in words is "two hundred ninety billion, eight hundred eighty-two million, nine hundred eighty thousand, eighty".