2503272000 has 224 divisors, whose sum is σ = 8492215680. Its totient is φ = 649267200.

The previous prime is 2503271959. The next prime is 2503272007. The reversal of 2503272000 is 2723052.

It is not an unprimeable number, because it can be changed into a prime (2503272007) 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, 886591 + ... + 889409.

Almost surely, 2^2503272000 is an apocalyptic number.

2503272000 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 2503272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246107840).

2503272000 is an abundant number, since it is smaller than the sum of its proper divisors (5988943680).

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

2503272000 is a wasteful number, since it uses less digits than its factorization.

2503272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2503272000 is about 50032.7093010163. The cubic root of 2503272000 is about 1357.8006551322.

Adding to 2503272000 its reverse (2723052), we get a palindrome (2505995052).

The spelling of 2503272000 in words is "two billion, five hundred three million, two hundred seventy-two thousand".