2025504 has 72 divisors (see below), whose sum is σ = 6214572. Its totient is φ = 622080.

The previous prime is 2025503. The next prime is 2025511. The reversal of 2025504 is 4055202.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 121104 = 1380^2 + 348^2 .

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 not an unprimeable number, because it can be changed into a prime (2025503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3474 + ... + 4014.

2^2025504 is an apocalyptic number.

2025504 is a gapful number since it is divisible by the number (24) 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 2025504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107286).

2025504 is an abundant number, since it is smaller than the sum of its proper divisors (4189068).

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

2025504 is a wasteful number, since it uses less digits than its factorization.

2025504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2025504 is about 1423.2020236073. The cubic root of 2025504 is about 126.5253949755.

The spelling of 2025504 in words is "two million, twenty-five thousand, five hundred four".