2138580 has 54 divisors (see below), whose sum is σ = 6547086. Its totient is φ = 565056.

The previous prime is 2138569. The next prime is 2138593. The reversal of 2138580 is 858312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 535824 + 1602756 = 732^2 + 1266^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19566 + ... + 19674.

2^2138580 is an apocalyptic number.

2138580 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 2138580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273543).

2138580 is an abundant number, since it is smaller than the sum of its proper divisors (4408506).

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

2138580 is a wasteful number, since it uses less digits than its factorization.

2138580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2138580 is about 1462.3884572849. The cubic root of 2138580 is about 128.8373649036.

The spelling of 2138580 in words is "two million, one hundred thirty-eight thousand, five hundred eighty".