2504000 has 56 divisors (see below), whose sum is σ = 6220968. Its totient is φ = 998400.

The previous prime is 2503999. The next prime is 2504009. The reversal of 2504000 is 4052.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 1784896 = 848^2 + 1336^2 .

It is a sliding number, since 2504000 = 4000 + 2500000 and 1/4000 + 1/2500000 = 0.0002504000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7844 + ... + 8156.

2^2504000 is an apocalyptic number.

2504000 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 2504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110484).

2504000 is an abundant number, since it is smaller than the sum of its proper divisors (3716968).

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

2504000 is an equidigital number, since it uses as much as digits as its factorization.

2504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2504000 is about 1582.4032355882. The cubic root of 2504000 is about 135.7932267287.

Adding to 2504000 its reverse (4052), we get a palindrome (2508052).

It can be divided in two parts, 250 and 4000, that multiplied together give a 6-th power (1000000 = 10⁶).

The spelling of 2504000 in words is "two million, five hundred four thousand".