2683769920 has 56 divisors (see below), whose sum is σ = 6882332184. Its totient is φ = 990928896.

The previous prime is 2683769903. The next prime is 2683769929. The reversal of 2683769920 is 299673862.

2683769920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43454464 + 2640315456 = 6592^2 + 51384^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2683769929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318409 + ... + 326728.

It is an arithmetic number, because the mean of its divisors is an integer number (122898789).

Almost surely, 2^2683769920 is an apocalyptic number.

2683769920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2683769920 is an abundant number, since it is smaller than the sum of its proper divisors (4198562264).

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

2683769920 is a wasteful number, since it uses less digits than its factorization.

2683769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645167 (or 645157 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 2683769920 is about 51805.1148053935. The cubic root of 2683769920 is about 1389.6809163547.

The spelling of 2683769920 in words is "two billion, six hundred eighty-three million, seven hundred sixty-nine thousand, nine hundred twenty".