2053600 has 72 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 768000.

The previous prime is 2053573. The next prime is 2053603. The reversal of 2053600 is 63502.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13525 + ... + 13675.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

2^2053600 is an apocalyptic number.

2053600 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 2053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2053600 is an abundant number, since it is smaller than the sum of its proper divisors (3289808).

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

2053600 is a wasteful number, since it uses less digits than its factorization.

2053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2053600 is about 1433.0387294138. The cubic root of 2053600 is about 127.1077268113.

The spelling of 2053600 in words is "two million, fifty-three thousand, six hundred".