2200664732742 has 288 divisors, whose sum is σ = 5908897612800. Its totient is φ = 588508333056.

The previous prime is 2200664732741. The next prime is 2200664732753. The reversal of 2200664732742 is 2472374660022.

2200664732742 is a `hidden beast` number, since 220 + 0 + 6 + 64 + 7 + 327 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200664732741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1688920863 + ... + 1688922165.

It is an arithmetic number, because the mean of its divisors is an integer number (20517005600).

Almost surely, 2^{2200664732742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200664732742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954448806400).

2200664732742 is an abundant number, since it is smaller than the sum of its proper divisors (3708232880058).

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

2200664732742 is a wasteful number, since it uses less digits than its factorization.

2200664732742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 2200664732742 in words is "two trillion, two hundred billion, six hundred sixty-four million, seven hundred thirty-two thousand, seven hundred forty-two".