2201922821280 has 1152 divisors, whose sum is σ = 9130383618048. Its totient is φ = 435242336256.

The previous prime is 2201922821249. The next prime is 2201922821341. The reversal of 2201922821280 is 821282291022.

It is a super-2 number, since 2×2201922821280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 2963556589 + ... + 2963557331.

It is an arithmetic number, because the mean of its divisors is an integer number (7925680224).

Almost surely, 2^{2201922821280} is an apocalyptic number.

2201922821280 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 2201922821280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565191809024).

2201922821280 is an abundant number, since it is smaller than the sum of its proper divisors (6928460796768).

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

2201922821280 is a wasteful number, since it uses less digits than its factorization.

2201922821280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 2201922821280 in words is "two trillion, two hundred one billion, nine hundred twenty-two million, eight hundred twenty-one thousand, two hundred eighty".