2007504 has 50 divisors (see below), whose sum is σ = 5814050. Its totient is φ = 668736.

The previous prime is 2007503. The next prime is 2007517. The reversal of 2007504 is 4057002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 419904 = 1260^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007503) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 522 + ... + 2070.

It is an arithmetic number, because the mean of its divisors is an integer number (116281).

2^2007504 is an apocalyptic number.

2007504 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 2007504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907025).

2007504 is an abundant number, since it is smaller than the sum of its proper divisors (3806546).

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

2007504 is a wasteful number, since it uses less digits than its factorization.

2007504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2007504 is about 1416.8641430991. The cubic root of 2007504 is about 126.1494824525.

The spelling of 2007504 in words is "two million, seven thousand, five hundred four".