2114123400 has 288 divisors, whose sum is σ = 7651519200. Its totient is φ = 521164800.

The previous prime is 2114123381. The next prime is 2114123447. The reversal of 2114123400 is 43214112.

2114123400 is a `hidden beast` number, since 211 + 412 + 3 + 40 + 0 = 666.

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

It is a congruent number.

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, 1804815 + ... + 1805985.

It is an arithmetic number, because the mean of its divisors is an integer number (26567775).

Almost surely, 2^2114123400 is an apocalyptic number.

2114123400 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 2114123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825759600).

2114123400 is an abundant number, since it is smaller than the sum of its proper divisors (5537395800).

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

2114123400 is a wasteful number, since it uses less digits than its factorization.

2114123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2114123400 is about 45979.5976493923. The cubic root of 2114123400 is about 1283.4435676753.

Adding to 2114123400 its reverse (43214112), we get a palindrome (2157337512).

The spelling of 2114123400 in words is "two billion, one hundred fourteen million, one hundred twenty-three thousand, four hundred".