2768652810 has 384 divisors, whose sum is σ = 9665630208. Its totient is φ = 532224000.

The previous prime is 2768652781. The next prime is 2768652833. The reversal of 2768652810 is 182568672.

It is a super-2 number, since 2×2768652810² = 15330876764641792200, which contains 22 as substring.

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 Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8364345 + ... + 8364675.

It is an arithmetic number, because the mean of its divisors is an integer number (25170912).

Almost surely, 2^2768652810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768652810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832815104).

2768652810 is an abundant number, since it is smaller than the sum of its proper divisors (6896977398).

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

2768652810 is a wasteful number, since it uses less digits than its factorization.

2768652810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2768652810 is about 52617.9894142678. The cubic root of 2768652810 is about 1404.1801610919.

The spelling of 2768652810 in words is "two billion, seven hundred sixty-eight million, six hundred fifty-two thousand, eight hundred ten".