2766536500 has 192 divisors, whose sum is σ = 7622963712. Its totient is φ = 853632000.

The previous prime is 2766536483. The next prime is 2766536543. The reversal of 2766536500 is 56356672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1864759 + ... + 1866241.

It is an arithmetic number, because the mean of its divisors is an integer number (39702936).

Almost surely, 2^2766536500 is an apocalyptic number.

2766536500 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 2766536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811481856).

2766536500 is an abundant number, since it is smaller than the sum of its proper divisors (4856427212).

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

2766536500 is a wasteful number, since it uses less digits than its factorization.

2766536500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The square root of 2766536500 is about 52597.8754323784. The cubic root of 2766536500 is about 1403.8222929386.

The spelling of 2766536500 in words is "two billion, seven hundred sixty-six million, five hundred thirty-six thousand, five hundred".