2622666005200 has 240 divisors, whose sum is σ = 6745810383360. Its totient is φ = 977695488000.

The previous prime is 2622666005173. The next prime is 2622666005203. The reversal of 2622666005200 is 25006662262.

It is a self number, because there is not a number n which added to its sum of digits gives 2622666005200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2622666005203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142752015 + ... + 142770385.

It is an arithmetic number, because the mean of its divisors is an integer number (28107543264).

Almost surely, 2^{2622666005200} is an apocalyptic number.

2622666005200 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 2622666005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372905191680).

2622666005200 is an abundant number, since it is smaller than the sum of its proper divisors (4123144378160).

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

2622666005200 is a wasteful number, since it uses less digits than its factorization.

2622666005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18846 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 2622666005200 in words is "two trillion, six hundred twenty-two billion, six hundred sixty-six million, five thousand, two hundred".