2801351285200 has 240 divisors, whose sum is σ = 7308227868480. Its totient is φ = 1025759784960.

The previous prime is 2801351285143. The next prime is 2801351285237. The reversal of 2801351285200 is 25821531082.

It is a self number, because there is not a number n which added to its sum of digits gives 2801351285200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409838607 + ... + 1409840593.

It is an arithmetic number, because the mean of its divisors is an integer number (30450949452).

Almost surely, 2^{2801351285200} is an apocalyptic number.

2801351285200 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 2801351285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654113934240).

2801351285200 is an abundant number, since it is smaller than the sum of its proper divisors (4506876583280).

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

2801351285200 is a wasteful number, since it uses less digits than its factorization.

2801351285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 2801351285200 in words is "two trillion, eight hundred one billion, three hundred fifty-one million, two hundred eighty-five thousand, two hundred".