2114400 has 72 divisors (see below), whose sum is σ = 6890184. Its totient is φ = 563200.

The previous prime is 2114393. The next prime is 2114407. The reversal of 2114400 is 44112.

It is an interprime number because it is at equal distance from previous prime (2114393) and next prime (2114407).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1960 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

2^2114400 is an apocalyptic number.

2114400 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 2114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445092).

2114400 is an abundant number, since it is smaller than the sum of its proper divisors (4775784).

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

2114400 is a wasteful number, since it uses less digits than its factorization.

2114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2114400 is about 1454.0976583435. The cubic root of 2114400 is about 128.3499538077.

Adding to 2114400 its reverse (44112), we get a palindrome (2158512).

The spelling of 2114400 in words is "two million, one hundred fourteen thousand, four hundred".