2551241395200 has 264 divisors, whose sum is σ = 8446031260672. Its totient is φ = 679197818880.

The previous prime is 2551241395163. The next prime is 2551241395201. The reversal of 2551241395200 is 25931421552.

It is not an unprimeable number, because it can be changed into a prime (2551241395201) 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 23 ways as a sum of consecutive naturals, for example, 46590237 + ... + 46644963.

Almost surely, 2^{2551241395200} is an apocalyptic number.

2551241395200 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 2551241395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223015630336).

2551241395200 is an abundant number, since it is smaller than the sum of its proper divisors (5894789865472).

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

2551241395200 is a wasteful number, since it uses less digits than its factorization.

2551241395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55367 (or 55344 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 2551241395200 in words is "two trillion, five hundred fifty-one billion, two hundred forty-one million, three hundred ninety-five thousand, two hundred".