2766786000 has 480 divisors, whose sum is σ = 10167515904. Its totient is φ = 646272000.

The previous prime is 2766785951. The next prime is 2766786017. The reversal of 2766786000 is 6876672.

2766786000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26861949 + ... + 26862051.

Almost surely, 2^2766786000 is an apocalyptic number.

2766786000 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 2766786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083757952).

2766786000 is an abundant number, since it is smaller than the sum of its proper divisors (7400729904).

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

2766786000 is a wasteful number, since it uses less digits than its factorization.

2766786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2766786000 is about 52600.2471477083. The cubic root of 2766786000 is about 1403.8644928919.

The spelling of 2766786000 in words is "two billion, seven hundred sixty-six million, seven hundred eighty-six thousand".