2083248180 has 192 divisors, whose sum is σ = 7025518080. Its totient is φ = 509442048.

The previous prime is 2083248137. The next prime is 2083248191. The reversal of 2083248180 is 818423802.

It is a happy number.

2083248180 is a `hidden beast` number, since 20 + 83 + 2 + 481 + 80 = 666.

2083248180 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171452 + ... + 1173228.

It is an arithmetic number, because the mean of its divisors is an integer number (36591240).

Almost surely, 2^2083248180 is an apocalyptic number.

2083248180 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 2083248180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512759040).

2083248180 is an abundant number, since it is smaller than the sum of its proper divisors (4942269900).

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

2083248180 is a wasteful number, since it uses less digits than its factorization.

2083248180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2083248180 is about 45642.6136412016. The cubic root of 2083248180 is about 1277.1649860715.

The spelling of 2083248180 in words is "two billion, eighty-three million, two hundred forty-eight thousand, one hundred eighty".