2590200 has 72 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 690240.

The previous prime is 2590183. The next prime is 2590223. The reversal of 2590200 is 20952.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 1081 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

2^2590200 is an apocalyptic number.

2590200 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 2590200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400).

2590200 is an abundant number, since it is smaller than the sum of its proper divisors (6114600).

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

2590200 is a wasteful number, since it uses less digits than its factorization.

2590200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2590200 is about 1609.4098297202. The cubic root of 2590200 is about 137.3339041252. Note that the first 3 decimals are identical.

The spelling of 2590200 in words is "two million, five hundred ninety thousand, two hundred".