2220271441920 has 1728 divisors, whose sum is σ = 9547420428000. Its totient is φ = 474444988416.

The previous prime is 2220271441907. The next prime is 2220271441957. The reversal of 2220271441920 is 291441720222.

2220271441920 is a `hidden beast` number, since 2 + 2 + 202 + 7 + 1 + 441 + 9 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9695508366 + ... + 9695508594.

Almost surely, 2^{2220271441920} is an apocalyptic number.

2220271441920 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 2220271441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773710214000).

2220271441920 is an abundant number, since it is smaller than the sum of its proper divisors (7327148986080).

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

2220271441920 is a wasteful number, since it uses less digits than its factorization.

2220271441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2220271441920 in words is "two trillion, two hundred twenty billion, two hundred seventy-one million, four hundred forty-one thousand, nine hundred twenty".