2200385768 has 48 divisors (see below), whose sum is σ = 4807836000. Its totient is φ = 941347680.

The previous prime is 2200385767. The next prime is 2200385777. The reversal of 2200385768 is 8675830022.

It is not an unprimeable number, because it can be changed into a prime (2200385767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230123 + ... + 239493.

It is an arithmetic number, because the mean of its divisors is an integer number (100163250).

Almost surely, 2^2200385768 is an apocalyptic number.

2200385768 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 2200385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403918000).

2200385768 is an abundant number, since it is smaller than the sum of its proper divisors (2607450232).

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

2200385768 is a wasteful number, since it uses less digits than its factorization.

2200385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 2200385768 is about 46908.2697186754. The cubic root of 2200385768 is about 1300.6674615845.

The spelling of 2200385768 in words is "two billion, two hundred million, three hundred eighty-five thousand, seven hundred sixty-eight".