2220165799488 has 1344 divisors, whose sum is σ = 8717377536000. Its totient is φ = 547608563712.

The previous prime is 2220165799433. The next prime is 2220165799531. The reversal of 2220165799488 is 8849975610222.

2220165799488 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 65 + 7 + 99 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1735860033 + ... + 1735861311.

It is an arithmetic number, because the mean of its divisors is an integer number (6486144000).

Almost surely, 2^{2220165799488} is an apocalyptic number.

2220165799488 is a gapful number since it is divisible by the number (28) 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 2220165799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358688768000).

2220165799488 is an abundant number, since it is smaller than the sum of its proper divisors (6497211736512).

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

2220165799488 is a wasteful number, since it uses less digits than its factorization.

2220165799488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

It can be divided in two parts, 2220165 and 799488, that added together give a triangular number (3019653 = T₂₄₅₇).

The spelling of 2220165799488 in words is "two trillion, two hundred twenty billion, one hundred sixty-five million, seven hundred ninety-nine thousand, four hundred eighty-eight".