2833802766 has 128 divisors (see below), whose sum is σ = 6793113600. Its totient is φ = 873024480.

The previous prime is 2833802761. The next prime is 2833802771. The reversal of 2833802766 is 6672083382.

It is an interprime number because it is at equal distance from previous prime (2833802761) and next prime (2833802771).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833802761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9111751 + ... + 9112061.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^2833802766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2833802766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

2833802766 is an abundant number, since it is smaller than the sum of its proper divisors (3959310834).

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

2833802766 is a wasteful number, since it uses less digits than its factorization.

2833802766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2833802766 is about 53233.4741116903. The cubic root of 2833802766 is about 1415.1089355797.

It can be divided in two parts, 283380 and 2766, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 2833802766 in words is "two billion, eight hundred thirty-three million, eight hundred two thousand, seven hundred sixty-six".