2764016820 has 36 divisors (see below), whose sum is σ = 8384184900. Its totient is φ = 737071104.

The previous prime is 2764016779. The next prime is 2764016839. The reversal of 2764016820 is 286104672.

2764016820 is a `hidden beast` number, since 2 + 7 + 640 + 1 + 6 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1440657936 + 1323358884 = 37956^2 + 36378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7677645 + ... + 7678004.

It is an arithmetic number, because the mean of its divisors is an integer number (232894025).

Almost surely, 2^2764016820 is an apocalyptic number.

2764016820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2764016820 is an abundant number, since it is smaller than the sum of its proper divisors (5620168080).

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

2764016820 is a wasteful number, since it uses less digits than its factorization.

2764016820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15355664 (or 15355659 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2764016820 is about 52573.9176778752. The cubic root of 2764016820 is about 1403.3959768146.

The spelling of 2764016820 in words is "two billion, seven hundred sixty-four million, sixteen thousand, eight hundred twenty".