2114800820 has 48 divisors (see below), whose sum is σ = 4862446848. Its totient is φ = 766220160.

The previous prime is 2114800819. The next prime is 2114800847. The reversal of 2114800820 is 280084112.

It is a self number, because there is not a number n which added to its sum of digits gives 2114800820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43589 + ... + 78291.

It is an arithmetic number, because the mean of its divisors is an integer number (101300976).

Almost surely, 2^2114800820 is an apocalyptic number.

2114800820 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 2114800820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431223424).

2114800820 is an abundant number, since it is smaller than the sum of its proper divisors (2747646028).

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

2114800820 is a wasteful number, since it uses less digits than its factorization.

2114800820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35000 (or 34998 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 2114800820 is about 45986.9635875212. The cubic root of 2114800820 is about 1283.5806359113.

Adding to 2114800820 its reverse (280084112), we get a palindrome (2394884932).

It can be divided in two parts, 21 and 14800820, that added together give a palindrome (14800841).

The spelling of 2114800820 in words is "two billion, one hundred fourteen million, eight hundred thousand, eight hundred twenty".