2161410000 has 100 divisors (see below), whose sum is σ = 6977416512. Its totient is φ = 576368000.

The previous prime is 2161409917. The next prime is 2161410023. The reversal of 2161410000 is 141612.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×2161410000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6024 + ... + 66023.

Almost surely, 2^2161410000 is an apocalyptic number.

2161410000 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 2161410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488708256).

2161410000 is an abundant number, since it is smaller than the sum of its proper divisors (4816006512).

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

2161410000 is an equidigital number, since it uses as much as digits as its factorization.

2161410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72078 (or 72057 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2161410000 is about 46490.9668645426. The cubic root of 2161410000 is about 1292.9420262562.

Adding to 2161410000 its reverse (141612), we get a palindrome (2161551612).

The spelling of 2161410000 in words is "two billion, one hundred sixty-one million, four hundred ten thousand".