2220165371424 has 576 divisors, whose sum is σ = 8030767151232. Its totient is φ = 532287866880.

The previous prime is 2220165371401. The next prime is 2220165371441. The reversal of 2220165371424 is 4241735610222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81379674 + ... + 81406950.

It is an arithmetic number, because the mean of its divisors is an integer number (13942304082).

Almost surely, 2^{2220165371424} is an apocalyptic number.

2220165371424 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 2220165371424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015383575616).

2220165371424 is an abundant number, since it is smaller than the sum of its proper divisors (5810601779808).

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

2220165371424 is a wasteful number, since it uses less digits than its factorization.

2220165371424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27350 (or 27313 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2220165371424 in words is "two trillion, two hundred twenty billion, one hundred sixty-five million, three hundred seventy-one thousand, four hundred twenty-four".