2084131140 has 192 divisors, whose sum is σ = 7207280640. Its totient is φ = 438197760.

The previous prime is 2084131129. The next prime is 2084131141. The reversal of 2084131140 is 411314802.

It is a self number, because there is not a number n which added to its sum of digits gives 2084131140.

It is not an unprimeable number, because it can be changed into a prime (2084131141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2287285 + ... + 2288195.

It is an arithmetic number, because the mean of its divisors is an integer number (37537920).

Almost surely, 2^2084131140 is an apocalyptic number.

2084131140 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 2084131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603640320).

2084131140 is an abundant number, since it is smaller than the sum of its proper divisors (5123149500).

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

2084131140 is a wasteful number, since it uses less digits than its factorization.

2084131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2084131140 is about 45652.2851563862. The cubic root of 2084131140 is about 1277.3453976559.

Adding to 2084131140 its reverse (411314802), we get a palindrome (2495445942).

The spelling of 2084131140 in words is "two billion, eighty-four million, one hundred thirty-one thousand, one hundred forty".