2086610540 has 96 divisors (see below), whose sum is σ = 5177015424. Its totient is φ = 691568640.

The previous prime is 2086610521. The next prime is 2086610567. The reversal of 2086610540 is 450166802.

It is a junction number, because it is equal to n+sod(n) for n = 2086610497 and 2086610506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647012 + ... + 650228.

It is an arithmetic number, because the mean of its divisors is an integer number (53927244).

Almost surely, 2^2086610540 is an apocalyptic number.

2086610540 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 2086610540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588507712).

2086610540 is an abundant number, since it is smaller than the sum of its proper divisors (3090404884).

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

2086610540 is a wasteful number, since it uses less digits than its factorization.

2086610540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2086610540 is about 45679.4323519897. The cubic root of 2086610540 is about 1277.8517309743.

The spelling of 2086610540 in words is "two billion, eighty-six million, six hundred ten thousand, five hundred forty".