2083768180 has 24 divisors (see below), whose sum is σ = 4712522472. Its totient is φ = 769391232.

The previous prime is 2083768147. The next prime is 2083768189. The reversal of 2083768180 is 818673802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52823824 + 2030944356 = 7268^2 + 45066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083768189) 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, 4006987 + ... + 4007506.

It is an arithmetic number, because the mean of its divisors is an integer number (196355103).

Almost surely, 2^2083768180 is an apocalyptic number.

2083768180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083768180 is an abundant number, since it is smaller than the sum of its proper divisors (2628754292).

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

2083768180 is a wasteful number, since it uses less digits than its factorization.

2083768180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014515 (or 8014513 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 2083768180 is about 45648.3097167902. The cubic root of 2083768180 is about 1277.2712417014.

The spelling of 2083768180 in words is "two billion, eighty-three million, seven hundred sixty-eight thousand, one hundred eighty".