2050400 has 72 divisors (see below), whose sum is σ = 5484024. Its totient is φ = 742400.

The previous prime is 2050397. The next prime is 2050403. The reversal of 2050400 is 40502.

It is an interprime number because it is at equal distance from previous prime (2050397) and next prime (2050403).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050403) 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, 8684 + ... + 8916.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

2^2050400 is an apocalyptic number.

2050400 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 2050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742012).

2050400 is an abundant number, since it is smaller than the sum of its proper divisors (3433624).

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

2050400 is a wasteful number, since it uses less digits than its factorization.

2050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2050400 is about 1431.9217855735. The cubic root of 2050400 is about 127.0416710755.

Adding to 2050400 its reverse (40502), we get a palindrome (2090902).

The spelling of 2050400 in words is "two million, fifty thousand, four hundred".