2801071553280 has 1728 divisors, whose sum is σ = 12498545762304. Its totient is φ = 519693926400.

The previous prime is 2801071553219. The next prime is 2801071553299. The reversal of 2801071553280 is 823551701082.

2801071553280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1310748372 + ... + 1310750508.

Almost surely, 2^{2801071553280} is an apocalyptic number.

2801071553280 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 2801071553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249272881152).

2801071553280 is an abundant number, since it is smaller than the sum of its proper divisors (9697474209024).

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

2801071553280 is a wasteful number, since it uses less digits than its factorization.

2801071553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 2801071553280 in words is "two trillion, eight hundred one billion, seventy-one million, five hundred fifty-three thousand, two hundred eighty".