2768884506 has 64 divisors (see below), whose sum is σ = 6204211200. Its totient is φ = 915332400.

The previous prime is 2768884501. The next prime is 2768884511. The reversal of 2768884506 is 6054888672.

It is an interprime number because it is at equal distance from previous prime (2768884501) and next prime (2768884511).

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

It is not an unprimeable number, because it can be changed into a prime (2768884501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6307035 + ... + 6307473.

It is an arithmetic number, because the mean of its divisors is an integer number (96940800).

Almost surely, 2^2768884506 is an apocalyptic number.

2768884506 is an abundant number, since it is smaller than the sum of its proper divisors (3435326694).

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

2768884506 is a wasteful number, since it uses less digits than its factorization.

2768884506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2768884506 is about 52620.1910486840. The cubic root of 2768884506 is about 1404.2193298229.

The spelling of 2768884506 in words is "two billion, seven hundred sixty-eight million, eight hundred eighty-four thousand, five hundred six".