2102000000 has 112 divisors (see below), whose sum is σ = 5239386060. Its totient is φ = 840000000.

The previous prime is 2101999993. The next prime is 2102000009. The reversal of 2102000000 is 2012.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999475 + ... + 2000525.

Almost surely, 2^2102000000 is an apocalyptic number.

2102000000 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 2102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619693030).

2102000000 is an abundant number, since it is smaller than the sum of its proper divisors (3137386060).

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

2102000000 is an frugal number, since it uses more digits than its factorization.

2102000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2102000000 is about 45847.5735453906. The cubic root of 2102000000 is about 1280.9855690659.

Adding to 2102000000 its reverse (2012), we get a palindrome (2102002012).

The spelling of 2102000000 in words is "two billion, one hundred two million", and thus it is an aban number.