2801133495000 has 1200 divisors, whose sum is σ = 10442617542720. Its totient is φ = 700488000000.

The previous prime is 2801133494989. The next prime is 2801133495007. The reversal of 2801133495000 is 5943311082.

2801133495000 is a `hidden beast` number, since 2 + 8 + 0 + 113 + 34 + 9 + 500 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801133495007) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 27733994950 + ... + 27733995050.

Almost surely, 2^{2801133495000} is an apocalyptic number.

2801133495000 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 2801133495000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221308771360).

2801133495000 is an abundant number, since it is smaller than the sum of its proper divisors (7641484047720).

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

2801133495000 is a wasteful number, since it uses less digits than its factorization.

2801133495000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2801133495000 in words is "two trillion, eight hundred one billion, one hundred thirty-three million, four hundred ninety-five thousand".