2134400 has 96 divisors (see below), whose sum is σ = 5691600. Its totient is φ = 788480.

The previous prime is 2134399. The next prime is 2134409. The reversal of 2134400 is 44312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73586 + ... + 73614.

2^2134400 is an apocalyptic number.

2134400 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 2134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

2134400 is an abundant number, since it is smaller than the sum of its proper divisors (3557200).

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

2134400 is a wasteful number, since it uses less digits than its factorization.

2134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2134400 is about 1460.9585894200. The cubic root of 2134400 is about 128.7533696922.

Adding to 2134400 its reverse (44312), we get a palindrome (2178712).

The spelling of 2134400 in words is "two million, one hundred thirty-four thousand, four hundred".