2504504772 has 288 divisors, whose sum is σ = 8287319040. Its totient is φ = 642453120.

The previous prime is 2504504759. The next prime is 2504504833. The reversal of 2504504772 is 2774054052.

It is a happy number.

2504504772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8157843 + ... + 8158149.

Almost surely, 2^2504504772 is an apocalyptic number.

2504504772 is a gapful number since it is divisible by the number (22) 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 2504504772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143659520).

2504504772 is an abundant number, since it is smaller than the sum of its proper divisors (5782814268).

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

2504504772 is a wasteful number, since it uses less digits than its factorization.

2504504772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2504504772 is about 50045.0274452917. The cubic root of 2504504772 is about 1358.0235079867.

The spelling of 2504504772 in words is "two billion, five hundred four million, five hundred four thousand, seven hundred seventy-two".