2053800 has 144 divisors (see below), whose sum is σ = 7931040. Its totient is φ = 466560.

The previous prime is 2053789. The next prime is 2053811. The reversal of 2053800 is 83502.

2053800 = T₁₅ + T₁₆ + ... + T₂₃₀.

2053800 = 76² + 77² + ... + 187².

It is an interprime number because it is at equal distance from previous prime (2053789) and next prime (2053811).

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 35 ways as a sum of consecutive naturals, for example, 12519 + ... + 12681.

2^2053800 is an apocalyptic number.

2053800 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 2053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965520).

2053800 is an abundant number, since it is smaller than the sum of its proper divisors (5877240).

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

2053800 is a wasteful number, since it uses less digits than its factorization.

2053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

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

The square root of 2053800 is about 1433.1085094995. The cubic root of 2053800 is about 127.1118530157. Note that the first 3 decimals are identical.

It can be divided in two parts, 205 and 3800, that added together give a triangular number (4005 = T₈₉).

The spelling of 2053800 in words is "two million, fifty-three thousand, eight hundred".