2101585408 has 40 divisors (see below), whose sum is σ = 4522085568. Its totient is φ = 969959424.

The previous prime is 2101585403. The next prime is 2101585411. The reversal of 2101585408 is 8045851012.

It is a super-2 number, since 2×2101585408² = 8833322454237052928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101585403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151216 + ... + 164527.

Almost surely, 2^2101585408 is an apocalyptic number.

It is an amenable number.

2101585408 is an abundant number, since it is smaller than the sum of its proper divisors (2420500160).

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

2101585408 is an equidigital number, since it uses as much as digits as its factorization.

2101585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315774 (or 315758 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 2101585408 is about 45843.0519053869. The cubic root of 2101585408 is about 1280.9013443133.

The spelling of 2101585408 in words is "two billion, one hundred one million, five hundred eighty-five thousand, four hundred eight".