290961332820 has 288 divisors, whose sum is σ = 933330198528. Its totient is φ = 76069901952.

The previous prime is 290961332807. The next prime is 290961332839. The reversal of 290961332820 is 28233169092.

It is a happy number.

290961332820 is a `hidden beast` number, since 2 + 9 + 0 + 9 + 613 + 3 + 2 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72611257 + ... + 72615263.

It is an arithmetic number, because the mean of its divisors is an integer number (3240729856).

Almost surely, 2^290961332820 is an apocalyptic number.

290961332820 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 290961332820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466665099264).

290961332820 is an abundant number, since it is smaller than the sum of its proper divisors (642368865708).

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

290961332820 is a wasteful number, since it uses less digits than its factorization.

290961332820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 290961332820 in words is "two hundred ninety billion, nine hundred sixty-one million, three hundred thirty-two thousand, eight hundred twenty".