2529000 has 96 divisors (see below), whose sum is σ = 8578440. Its totient is φ = 672000.

The previous prime is 2528993. The next prime is 2529013. The reversal of 2529000 is 9252.

2529000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 1572516 = 978^2 + 1254^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8860 + ... + 9140.

2^2529000 is an apocalyptic number.

2529000 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 2529000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289220).

2529000 is an abundant number, since it is smaller than the sum of its proper divisors (6049440).

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

2529000 is a wasteful number, since it uses less digits than its factorization.

2529000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

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

The square root of 2529000 is about 1590.2829936838. The cubic root of 2529000 is about 136.2436520343.

The spelling of 2529000 in words is "two million, five hundred twenty-nine thousand".