2102021680 has 160 divisors (see below), whose sum is σ = 5663923200. Its totient is φ = 723444480.

The previous prime is 2102021671. The next prime is 2102021693. The reversal of 2102021680 is 861202012.

It is a super-3 number, since 3×2102021680³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2022601 + ... + 2023639.

It is an arithmetic number, because the mean of its divisors is an integer number (35399520).

Almost surely, 2^2102021680 is an apocalyptic number.

2102021680 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 2102021680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831961600).

2102021680 is an abundant number, since it is smaller than the sum of its proper divisors (3561901520).

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

2102021680 is a wasteful number, since it uses less digits than its factorization.

2102021680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2102021680 is about 45847.8099804124. The cubic root of 2102021680 is about 1280.9899730734.

Adding to 2102021680 its reverse (861202012), we get a palindrome (2963223692).

The spelling of 2102021680 in words is "two billion, one hundred two million, twenty-one thousand, six hundred eighty".