2140137580 has 96 divisors (see below), whose sum is σ = 5641896960. Its totient is φ = 664899840.

The previous prime is 2140137577. The next prime is 2140137583. The reversal of 2140137580 is 857310412.

It is an interprime number because it is at equal distance from previous prime (2140137577) and next prime (2140137583).

It is a super-2 number, since 2×2140137580² = 9160377722656512800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2140137583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43690 + ... + 78670.

It is an arithmetic number, because the mean of its divisors is an integer number (58769760).

Almost surely, 2^2140137580 is an apocalyptic number.

2140137580 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 2140137580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820948480).

2140137580 is an abundant number, since it is smaller than the sum of its proper divisors (3501759380).

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

2140137580 is a wasteful number, since it uses less digits than its factorization.

2140137580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35039 (or 35037 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2140137580 is about 46261.6210265053. The cubic root of 2140137580 is about 1288.6863577867.

Adding to 2140137580 its reverse (857310412), we get a palindrome (2997447992).

The spelling of 2140137580 in words is "two billion, one hundred forty million, one hundred thirty-seven thousand, five hundred eighty".