2504400 has 60 divisors (see below), whose sum is σ = 8026272. Its totient is φ = 667520.

The previous prime is 2504399. The next prime is 2504407. The reversal of 2504400 is 44052.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2504400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504407) 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, 157 + ... + 2243.

2^2504400 is an apocalyptic number.

2504400 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 2504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013136).

2504400 is an abundant number, since it is smaller than the sum of its proper divisors (5521872).

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

2504400 is a wasteful number, since it uses less digits than its factorization.

2504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2504400 is about 1582.5296205759. The cubic root of 2504400 is about 135.8004570800.

Adding to 2504400 its reverse (44052), we get a palindrome (2548452).

The spelling of 2504400 in words is "two million, five hundred four thousand, four hundred".