2114224400 has 120 divisors (see below), whose sum is σ = 5444395584. Its totient is φ = 786931200.

The previous prime is 2114224379. The next prime is 2114224403. The reversal of 2114224400 is 44224112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2114224403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337295 + ... + 343505.

Almost surely, 2^2114224400 is an apocalyptic number.

2114224400 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 2114224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722197792).

2114224400 is an abundant number, since it is smaller than the sum of its proper divisors (3330171184).

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

2114224400 is a wasteful number, since it uses less digits than its factorization.

2114224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2114224400 is about 45980.6959494960. The cubic root of 2114224400 is about 1283.4640057343.

Adding to 2114224400 its reverse (44224112), we get a palindrome (2158448512).

The spelling of 2114224400 in words is "two billion, one hundred fourteen million, two hundred twenty-four thousand, four hundred".