2506000 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 854400.

The previous prime is 2505991. The next prime is 2506003. The reversal of 2506000 is 6052.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2506003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13911 + ... + 14089.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2^2506000 is an apocalyptic number.

2506000 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 2506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2506000 is an abundant number, since it is smaller than the sum of its proper divisors (4457840).

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

2506000 is a wasteful number, since it uses less digits than its factorization.

2506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2506000 is about 1583.0350596244. The cubic root of 2506000 is about 135.8293707887.

The spelling of 2506000 in words is "two million, five hundred six thousand".