2506225087200 has 288 divisors, whose sum is σ = 8242180966656. Its totient is φ = 661419048960.

The previous prime is 2506225087139. The next prime is 2506225087237. The reversal of 2506225087200 is 27805226052.

2506225087200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692899792 + ... + 692903408.

It is an arithmetic number, because the mean of its divisors is an integer number (28618683912).

Almost surely, 2^{2506225087200} is an apocalyptic number.

2506225087200 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 2506225087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121090483328).

2506225087200 is an abundant number, since it is smaller than the sum of its proper divisors (5735955879456).

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

2506225087200 is a wasteful number, since it uses less digits than its factorization.

2506225087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 2506225087200 in words is "two trillion, five hundred six billion, two hundred twenty-five million, eighty-seven thousand, two hundred".