2114440200 has 288 divisors, whose sum is σ = 7440669600. Its totient is φ = 558005760.

The previous prime is 2114440177. The next prime is 2114440217. The reversal of 2114440200 is 20444112.

2114440200 is a `hidden beast` number, since 21 + 1 + 4 + 440 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6755244 + ... + 6755556.

Almost surely, 2^2114440200 is an apocalyptic number.

2114440200 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 2114440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720334800).

2114440200 is an abundant number, since it is smaller than the sum of its proper divisors (5326229400).

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

2114440200 is a wasteful number, since it uses less digits than its factorization.

2114440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2114440200 is about 45983.0425265662. The cubic root of 2114440200 is about 1283.5076721980.

Adding to 2114440200 its reverse (20444112), we get a palindrome (2134884312).

The spelling of 2114440200 in words is "two billion, one hundred fourteen million, four hundred forty thousand, two hundred".