2114092800 has 486 divisors, whose sum is σ = 8092343168. Its totient is φ = 526417920.

The previous prime is 2114092777. The next prime is 2114092829. The reversal of 2114092800 is 82904112.

2114092800 is a nontrivial binomial coefficient, being equal to C(65025, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16646337 + ... + 16646463.

Almost surely, 2^2114092800 is an apocalyptic number.

2114092800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2114092800 is the 65024-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046171584).

2114092800 is an abundant number, since it is smaller than the sum of its proper divisors (5978250368).

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

2114092800 is a wasteful number, since it uses less digits than its factorization.

2114092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2114092800 is about 45979.2648919054. The cubic root of 2114092800 is about 1283.4373754220.

Adding to 2114092800 its reverse (82904112), we get a palindrome (2196996912).

The spelling of 2114092800 in words is "two billion, one hundred fourteen million, ninety-two thousand, eight hundred".