2134800 has 90 divisors (see below), whose sum is σ = 7420842. Its totient is φ = 568320.

The previous prime is 2134763. The next prime is 2134801. The reversal of 2134800 is 84312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 1937664 = 444^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (2134801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3304 + ... + 3896.

2^2134800 is an apocalyptic number.

2134800 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 2134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710421).

2134800 is an abundant number, since it is smaller than the sum of its proper divisors (5286042).

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

2134800 is a wasteful number, since it uses less digits than its factorization.

2134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

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

The square root of 2134800 is about 1461.0954794263. The cubic root of 2134800 is about 128.7614122539.

The spelling of 2134800 in words is "two million, one hundred thirty-four thousand, eight hundred".