2766785472 has 448 divisors, whose sum is σ = 9597542400. Its totient is φ = 772623360.

The previous prime is 2766785467. The next prime is 2766785503. The reversal of 2766785472 is 2745876672.

2766785472 is a `hidden beast` number, since 27 + 6 + 6 + 78 + 547 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7902720) is a multiple of the sum of its prime divisors (245).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16974063 + ... + 16974225.

Almost surely, 2^2766785472 is an apocalyptic number.

2766785472 is a gapful number since it is divisible by the number (22) 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 2766785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798771200).

2766785472 is an abundant number, since it is smaller than the sum of its proper divisors (6830756928).

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

2766785472 is a wasteful number, since it uses less digits than its factorization.

2766785472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 2766785472 is about 52600.2421287203. The cubic root of 2766785472 is about 1403.8644035896.

The spelling of 2766785472 in words is "two billion, seven hundred sixty-six million, seven hundred eighty-five thousand, four hundred seventy-two".