2220211941024 has 288 divisors, whose sum is σ = 7406117240256. Its totient is φ = 575881850880.

The previous prime is 2220211940993. The next prime is 2220211941043. The reversal of 2220211941024 is 4201491120222.

It is a junction number, because it is equal to n+sod(n) for n = 2220211940982 and 2220211941000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37899084 + ... + 37957620.

It is an arithmetic number, because the mean of its divisors is an integer number (25715684862).

Almost surely, 2^{2220211941024} is an apocalyptic number.

2220211941024 is a gapful number since it is divisible by the number (24) 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 2220211941024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703058620128).

2220211941024 is an abundant number, since it is smaller than the sum of its proper divisors (5185905299232).

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

2220211941024 is a wasteful number, since it uses less digits than its factorization.

2220211941024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59308 (or 59293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 2220211941024 in words is "two trillion, two hundred twenty billion, two hundred eleven million, nine hundred forty-one thousand, twenty-four".