2766913821 has 54 divisors (see below), whose sum is σ = 4698110430. Its totient is φ = 1564611552.

The previous prime is 2766913789. The next prime is 2766913843. The reversal of 2766913821 is 1283196672.

2766913821 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2055624921 + 711288900 = 45339^2 + 26670^2 .

It is not a de Polignac number, because 2766913821 - 2⁵ = 2766913789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766913871) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7112695 + ... + 7113083.

It is an arithmetic number, because the mean of its divisors is an integer number (87002045).

Almost surely, 2^2766913821 is an apocalyptic number.

2766913821 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2766913821 is a deficient number, since it is larger than the sum of its proper divisors (1931196609).

2766913821 is a wasteful number, since it uses less digits than its factorization.

2766913821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 526 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2766913821 is about 52601.4621564838. The cubic root of 2766913821 is about 1403.8861113088.

The spelling of 2766913821 in words is "two billion, seven hundred sixty-six million, nine hundred thirteen thousand, eight hundred twenty-one".