2050800 has 60 divisors (see below), whose sum is σ = 6573240. Its totient is φ = 546560.

The previous prime is 2050787. The next prime is 2050813. The reversal of 2050800 is 80502.

It is an interprime number because it is at equal distance from previous prime (2050787) and next prime (2050813).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2050800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

2^2050800 is an apocalyptic number.

2050800 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 2050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286620).

2050800 is an abundant number, since it is smaller than the sum of its proper divisors (4522440).

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

2050800 is a wasteful number, since it uses less digits than its factorization.

2050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2050800 is about 1432.0614511954. The cubic root of 2050800 is about 127.0499317993.

It can be divided in two parts, 2050 and 800, that added together give a triangular number (2850 = T₇₅).

The spelling of 2050800 in words is "two million, fifty thousand, eight hundred".