2145600 has 126 divisors (see below), whose sum is σ = 7677150. Its totient is φ = 568320.

The previous prime is 2145551. The next prime is 2145617. The reversal of 2145600 is 65412.

It is a happy number.

2145600 is a `hidden beast` number, since 21 + 45 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 2143296 = 48^2 + 1464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14326 + ... + 14474.

2^2145600 is an apocalyptic number.

2145600 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 2145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838575).

2145600 is an abundant number, since it is smaller than the sum of its proper divisors (5531550).

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

2145600 is a wasteful number, since it uses less digits than its factorization.

2145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2145600 is about 1464.7866738880. The cubic root of 2145600 is about 128.9781827174.

The spelling of 2145600 in words is "two million, one hundred forty-five thousand, six hundred".