2210818821120 has 2464 divisors, whose sum is σ = 10247946734592. Its totient is φ = 444601073664.

The previous prime is 2210818821109. The next prime is 2210818821157. The reversal of 2210818821120 is 211288180122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7812080499 + ... + 7812080781.

Almost surely, 2^{2210818821120} is an apocalyptic number.

2210818821120 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 2210818821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123973367296).

2210818821120 is an abundant number, since it is smaller than the sum of its proper divisors (8037127913472).

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

2210818821120 is a wasteful number, since it uses less digits than its factorization.

2210818821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 2210818821120 in words is "two trillion, two hundred ten billion, eight hundred eighteen million, eight hundred twenty-one thousand, one hundred twenty".