2768042200 has 96 divisors (see below), whose sum is σ = 8023772160. Its totient is φ = 862761600.

The previous prime is 2768042191. The next prime is 2768042213. The reversal of 2768042200 is 22408672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74472 + ... + 105271.

It is an arithmetic number, because the mean of its divisors is an integer number (83580960).

Almost surely, 2^2768042200 is an apocalyptic number.

2768042200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768042200 is an abundant number, since it is smaller than the sum of its proper divisors (5255729960).

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

2768042200 is a wasteful number, since it uses less digits than its factorization.

2768042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179777 (or 179768 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2768042200 is about 52612.1868011585. The cubic root of 2768042200 is about 1404.0769256261.

The spelling of 2768042200 in words is "two billion, seven hundred sixty-eight million, forty-two thousand, two hundred".