2801257201080 has 384 divisors, whose sum is σ = 9934714782720. Its totient is φ = 680395852800.

The previous prime is 2801257201003. The next prime is 2801257201123. The reversal of 2801257201080 is 801027521082.

2801257201080 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 2 + 572 + 0 + 1 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352311105 + ... + 352319055.

It is an arithmetic number, because the mean of its divisors is an integer number (25871653080).

Almost surely, 2^{2801257201080} is an apocalyptic number.

2801257201080 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 2801257201080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967357391360).

2801257201080 is an abundant number, since it is smaller than the sum of its proper divisors (7133457581640).

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

2801257201080 is a wasteful number, since it uses less digits than its factorization.

2801257201080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8971 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 2801257201080 in words is "two trillion, eight hundred one billion, two hundred fifty-seven million, two hundred one thousand, eighty".