2086410960 has 200 divisors, whose sum is σ = 7562016000. Its totient is φ = 532147968.

The previous prime is 2086410947. The next prime is 2086410961. The reversal of 2086410960 is 690146802.

2086410960 is a `hidden beast` number, since 2 + 0 + 8 + 641 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×2086410960² = 8706221388016243200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086410961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142041 + ... + 156039.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 2^2086410960 is an apocalyptic number.

2086410960 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 2086410960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008000).

2086410960 is an abundant number, since it is smaller than the sum of its proper divisors (5475605040).

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

2086410960 is a wasteful number, since it uses less digits than its factorization.

2086410960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2086410960 is about 45677.2477279444. The cubic root of 2086410960 is about 1277.8109883800.

The spelling of 2086410960 in words is "two billion, eighty-six million, four hundred ten thousand, nine hundred sixty".