2541504 has 112 divisors (see below), whose sum is σ = 8062976. Its totient is φ = 691200.

The previous prime is 2541503. The next prime is 2541527. The reversal of 2541504 is 4051452.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41634 + ... + 41694.

2^2541504 is an apocalyptic number.

2541504 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 2541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031488).

2541504 is an abundant number, since it is smaller than the sum of its proper divisors (5521472).

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

2541504 is a wasteful number, since it uses less digits than its factorization.

2541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2541504 is about 1594.2095219889. The cubic root of 2541504 is about 136.4678237299.

Adding to 2541504 its reverse (4051452), we get a palindrome (6592956).

The spelling of 2541504 in words is "two million, five hundred forty-one thousand, five hundred four".