2086461900 has 108 divisors (see below), whose sum is σ = 6584214000. Its totient is φ = 552620160.

The previous prime is 2086461889. The next prime is 2086461907. The reversal of 2086461900 is 91646802.

2086461900 is a `hidden beast` number, since 2 + 0 + 8 + 646 + 1 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×2086461900² = 8706646520303220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2086461907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126321 + ... + 141879.

Almost surely, 2^2086461900 is an apocalyptic number.

2086461900 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 2086461900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292107000).

2086461900 is an abundant number, since it is smaller than the sum of its proper divisors (4497752100).

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

2086461900 is a wasteful number, since it uses less digits than its factorization.

2086461900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15728 (or 15718 counting only the distinct ones).

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

The square root of 2086461900 is about 45677.8053325682. The cubic root of 2086461900 is about 1277.8213876035.

The spelling of 2086461900 in words is "two billion, eighty-six million, four hundred sixty-one thousand, nine hundred".