2509000 has 64 divisors (see below), whose sum is σ = 6355440. Its totient is φ = 921600.

The previous prime is 2508971. The next prime is 2509027. The reversal of 2509000 is 9052.

It can be written as a sum of positive squares in 8 ways, for example, as 56644 + 2452356 = 238^2 + 1566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12904 + ... + 13096.

2^2509000 is an apocalyptic number.

2509000 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 2509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177720).

2509000 is an abundant number, since it is smaller than the sum of its proper divisors (3846440).

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

2509000 is a wasteful number, since it uses less digits than its factorization.

2509000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 2509000 is about 1583.9823231337. The cubic root of 2509000 is about 135.8835508386.

It can be divided in two parts, 250 and 9000, that multiplied together give a square (2250000 = 1500²).

The spelling of 2509000 in words is "two million, five hundred nine thousand".