2205792139200 has 336 divisors, whose sum is σ = 7806243285120. Its totient is φ = 542077562880.

The previous prime is 2205792139183. The next prime is 2205792139237. The reversal of 2205792139200 is 29312975022.

It is a happy number.

It is a super-2 number, since 2×2205792139200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38597047 + ... + 38654153.

It is an arithmetic number, because the mean of its divisors is an integer number (23232866920).

Almost surely, 2^{2205792139200} is an apocalyptic number.

2205792139200 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 2205792139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903121642560).

2205792139200 is an abundant number, since it is smaller than the sum of its proper divisors (5600451145920).

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

2205792139200 is a wasteful number, since it uses less digits than its factorization.

2205792139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57764 (or 57749 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 2205792139200 in words is "two trillion, two hundred five billion, seven hundred ninety-two million, one hundred thirty-nine thousand, two hundred".