2508534000 has 480 divisors, whose sum is σ = 10268104704. Its totient is φ = 558835200.

The previous prime is 2508533953. The next prime is 2508534019. The reversal of 2508534000 is 4358052.

2508534000 is a `hidden beast` number, since 250 + 8 + 5 + 3 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5417769 + ... + 5418231.

Almost surely, 2^2508534000 is an apocalyptic number.

2508534000 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 2508534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134052352).

2508534000 is an abundant number, since it is smaller than the sum of its proper divisors (7759570704).

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

2508534000 is a wasteful number, since it uses less digits than its factorization.

2508534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2508534000 is about 50085.2672948842. The cubic root of 2508534000 is about 1358.7513770518.

The spelling of 2508534000 in words is "two billion, five hundred eight million, five hundred thirty-four thousand".