2138261580 has 288 divisors, whose sum is σ = 8242311168. Its totient is φ = 436492800.

The previous prime is 2138261537. The next prime is 2138261621. The reversal of 2138261580 is 851628312.

It is a happy number.

2138261580 is a `hidden beast` number, since 2 + 1 + 38 + 2 + 615 + 8 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 505675 + ... + 509885.

It is an arithmetic number, because the mean of its divisors is an integer number (28619136).

Almost surely, 2^2138261580 is an apocalyptic number.

2138261580 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 2138261580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121155584).

2138261580 is an abundant number, since it is smaller than the sum of its proper divisors (6104049588).

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

2138261580 is a wasteful number, since it uses less digits than its factorization.

2138261580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2138261580 is about 46241.3405947535. The cubic root of 2138261580 is about 1288.3097025080.

Adding to 2138261580 its reverse (851628312), we get a palindrome (2989889892).

The spelling of 2138261580 in words is "two billion, one hundred thirty-eight million, two hundred sixty-one thousand, five hundred eighty".