2002504000 has 112 divisors (see below), whose sum is σ = 5667816960. Its totient is φ = 686553600.

The previous prime is 2002503989. The next prime is 2002504003. The reversal of 2002504000 is 4052002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002504003) 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, 38121 + ... + 73879.

Almost surely, 2^2002504000 is an apocalyptic number.

2002504000 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 2002504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833908480).

2002504000 is an abundant number, since it is smaller than the sum of its proper divisors (3665312960).

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

2002504000 is an equidigital number, since it uses as much as digits as its factorization.

2002504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35793 (or 35773 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2002504000 is about 44749.3463639415. The cubic root of 2002504000 is about 1260.4466376621.

Adding to 2002504000 its reverse (4052002), we get a palindrome (2006556002).

The spelling of 2002504000 in words is "two billion, two million, five hundred four thousand".