2090400 has 144 divisors (see below), whose sum is σ = 7437024. Its totient is φ = 506880.

The previous prime is 2090381. The next prime is 2090441. The reversal of 2090400 is 40902.

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 2090400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31167 + ... + 31233.

It is an arithmetic number, because the mean of its divisors is an integer number (51646).

2^2090400 is an apocalyptic number.

2090400 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 2090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718512).

2090400 is an abundant number, since it is smaller than the sum of its proper divisors (5346624).

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

2090400 is a wasteful number, since it uses less digits than its factorization.

2090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2090400 is about 1445.8215657542. The cubic root of 2090400 is about 127.8624825186.

The spelling of 2090400 in words is "two million, ninety thousand, four hundred".