2801358002800 has 120 divisors (see below), whose sum is σ = 7696383394976. Its totient is φ = 959884369920.

The previous prime is 2801358002789. The next prime is 2801358002801. The reversal of 2801358002800 is 82008531082.

It is a self number, because there is not a number n which added to its sum of digits gives 2801358002800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801358002801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4337704 + ... + 4941496.

Almost surely, 2^{2801358002800} is an apocalyptic number.

2801358002800 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 2801358002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848191697488).

2801358002800 is an abundant number, since it is smaller than the sum of its proper divisors (4895025392176).

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

2801358002800 is a wasteful number, since it uses less digits than its factorization.

2801358002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605475 (or 605464 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 2801358002800 in words is "two trillion, eight hundred one billion, three hundred fifty-eight million, two thousand, eight hundred".