2504033120 has 48 divisors (see below), whose sum is σ = 5932861200. Its totient is φ = 998721024.

The previous prime is 2504033117. The next prime is 2504033131. The reversal of 2504033120 is 213304052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2504033092 and 2504033101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33419 + ... + 78261.

It is an arithmetic number, because the mean of its divisors is an integer number (123601275).

Almost surely, 2^2504033120 is an apocalyptic number.

2504033120 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 2504033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966430600).

2504033120 is an abundant number, since it is smaller than the sum of its proper divisors (3428828080).

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

2504033120 is a wasteful number, since it uses less digits than its factorization.

2504033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45207 (or 45199 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2504033120 is about 50040.3149470504. The cubic root of 2504033120 is about 1357.9382543107.

Adding to 2504033120 its reverse (213304052), we get a palindrome (2717337172).

The spelling of 2504033120 in words is "two billion, five hundred four million, thirty-three thousand, one hundred twenty".