2220340802592 has 192 divisors, whose sum is σ = 6419244142080. Its totient is φ = 666396057600.

The previous prime is 2220340802539. The next prime is 2220340802633. The reversal of 2220340802592 is 2952080430222.

It is a super-3 number, since 3×2220340802592³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2220340802592.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72334384 + ... + 72365072.

It is an arithmetic number, because the mean of its divisors is an integer number (33433563240).

Almost surely, 2^{2220340802592} is an apocalyptic number.

2220340802592 is a gapful number since it is divisible by the number (22) 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 2220340802592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209622071040).

2220340802592 is an abundant number, since it is smaller than the sum of its proper divisors (4198903339488).

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

2220340802592 is a wasteful number, since it uses less digits than its factorization.

2220340802592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31367 (or 31359 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2220340802592 in words is "two trillion, two hundred twenty billion, three hundred forty million, eight hundred two thousand, five hundred ninety-two".