2129400 has 216 divisors, whose sum is σ = 8849880. Its totient is φ = 449280.

The previous prime is 2129399. The next prime is 2129401. The reversal of 2129400 is 49212.

It is an interprime number because it is at equal distance from previous prime (2129399) and next prime (2129401).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 163794 + ... + 163806.

2^2129400 is an apocalyptic number.

2129400 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 2129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424940).

2129400 is an abundant number, since it is smaller than the sum of its proper divisors (6720480).

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

2129400 is a wasteful number, since it uses less digits than its factorization.

2129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2129400 is about 1459.2463808418. The cubic root of 2129400 is about 128.6527527826.

The spelling of 2129400 in words is "two million, one hundred twenty-nine thousand, four hundred".