2506506600 has 288 divisors, whose sum is σ = 8863495200. Its totient is φ = 584064000.

The previous prime is 2506506599. The next prime is 2506506601. The reversal of 2506506600 is 66056052.

It is an interprime number because it is at equal distance from previous prime (2506506599) and next prime (2506506601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2506506601) 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 71 ways as a sum of consecutive naturals, for example, 1925950 + ... + 1927250.

It is an arithmetic number, because the mean of its divisors is an integer number (30776025).

Almost surely, 2^2506506600 is an apocalyptic number.

2506506600 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 2506506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431747600).

2506506600 is an abundant number, since it is smaller than the sum of its proper divisors (6356988600).

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

2506506600 is a wasteful number, since it uses less digits than its factorization.

2506506600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2506506600 is about 50065.0237191595. The cubic root of 2506506600 is about 1358.3852302636.

The spelling of 2506506600 in words is "two billion, five hundred six million, five hundred six thousand, six hundred".