1803090122280 has 1152 divisors, whose sum is σ = 6869451214080. Its totient is φ = 423800709120.

The previous prime is 1803090122233. The next prime is 1803090122341. The reversal of 1803090122280 is 822210903081.

It is a super-2 number, since 2×1803090122280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 9961823790 + ... + 9961823970.

It is an arithmetic number, because the mean of its divisors is an integer number (5963065290).

Almost surely, 2^{1803090122280} is an apocalyptic number.

1803090122280 is a gapful number since it is divisible by the number (10) 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 1803090122280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434725607040).

1803090122280 is an abundant number, since it is smaller than the sum of its proper divisors (5066361091800).

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

1803090122280 is a wasteful number, since it uses less digits than its factorization.

1803090122280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1803090122280 in words is "one trillion, eight hundred three billion, ninety million, one hundred twenty-two thousand, two hundred eighty".