2138400 has 216 divisors, whose sum is σ = 8530704. Its totient is φ = 518400.

The previous prime is 2138399. The next prime is 2138401. The reversal of 2138400 is 48312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2138399) and next prime (2138401).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (2138401) 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 35 ways as a sum of consecutive naturals, for example, 194395 + ... + 194405.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2^2138400 is an apocalyptic number.

2138400 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 2138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

2138400 is an abundant number, since it is smaller than the sum of its proper divisors (6392304).

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

2138400 is a wasteful number, since it uses less digits than its factorization.

2138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 21 counting only the distinct ones).

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

The square root of 2138400 is about 1462.3269128345. The cubic root of 2138400 is about 128.8337501411.

The spelling of 2138400 in words is "two million, one hundred thirty-eight thousand, four hundred".