2022800532480 has 3960 divisors, whose sum is σ = 9921112692480. Its totient is φ = 391283343360.

The previous prime is 2022800532377. The next prime is 2022800532481. The reversal of 2022800532480 is 842350082202.

2022800532480 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 80 + 0 + 532 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022800532481) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 65251630065 + ... + 65251630095.

It is an arithmetic number, because the mean of its divisors is an integer number (2505331488).

Almost surely, 2^{2022800532480} is an apocalyptic number.

2022800532480 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 2022800532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960556346240).

2022800532480 is an abundant number, since it is smaller than the sum of its proper divisors (7898312160000).

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

2022800532480 is a wasteful number, since it uses less digits than its factorization.

2022800532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2022800532480 in words is "two trillion, twenty-two billion, eight hundred million, five hundred thirty-two thousand, four hundred eighty".