2504984000 has 224 divisors, whose sum is σ = 6667292736. Its totient is φ = 928972800.

The previous prime is 2504983993. The next prime is 2504984003. The reversal of 2504984000 is 4894052.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504984003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15367919 + ... + 15368081.

Almost surely, 2^2504984000 is an apocalyptic number.

2504984000 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 2504984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333646368).

2504984000 is an abundant number, since it is smaller than the sum of its proper divisors (4162308736).

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

2504984000 is a wasteful number, since it uses less digits than its factorization.

2504984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2504984000 is about 50049.8151844740. The cubic root of 2504984000 is about 1358.1101201042.

The spelling of 2504984000 in words is "two billion, five hundred four million, nine hundred eighty-four thousand".