2506134600 has 288 divisors, whose sum is σ = 8872869600. Its totient is φ = 650160000.

The previous prime is 2506134503. The next prime is 2506134607. The reversal of 2506134600 is 64316052.

2506134600 is a `hidden beast` number, since 2 + 5 + 0 + 613 + 46 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2506134607) 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 71 ways as a sum of consecutive naturals, for example, 9984475 + ... + 9984725.

It is an arithmetic number, because the mean of its divisors is an integer number (30808575).

Almost surely, 2^2506134600 is an apocalyptic number.

2506134600 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 2506134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436434800).

2506134600 is an abundant number, since it is smaller than the sum of its proper divisors (6366735000).

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

2506134600 is a wasteful number, since it uses less digits than its factorization.

2506134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2506134600 is about 50061.3084127852. The cubic root of 2506134600 is about 1358.3180259314.

The spelling of 2506134600 in words is "two billion, five hundred six million, one hundred thirty-four thousand, six hundred".