2504557000 has 128 divisors (see below), whose sum is σ = 6483110400. Its totient is φ = 897984000.

The previous prime is 2504556979. The next prime is 2504557001. The reversal of 2504557000 is 7554052.

It is a self number, because there is not a number n which added to its sum of digits gives 2504557000.

It is not an unprimeable number, because it can be changed into a prime (2504557001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801441 + ... + 804559.

It is an arithmetic number, because the mean of its divisors is an integer number (50649300).

Almost surely, 2^2504557000 is an apocalyptic number.

2504557000 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 2504557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241555200).

2504557000 is an abundant number, since it is smaller than the sum of its proper divisors (3978553400).

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

2504557000 is a wasteful number, since it uses less digits than its factorization.

2504557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 2504557000 is about 50045.5492526558. The cubic root of 2504557000 is about 1358.0329478248.

It can be divided in two parts, 2504 and 557000, that added together give a square (559504 = 748²).

The spelling of 2504557000 in words is "two billion, five hundred four million, five hundred fifty-seven thousand".