2801347495488 has 224 divisors, whose sum is σ = 8366632715520. Its totient is φ = 918955376640.

The previous prime is 2801347495451. The next prime is 2801347495553. The reversal of 2801347495488 is 8845947431082.

It is a happy number.

2801347495488 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 3 + 47 + 49 + 548 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68316720 + ... + 68357712.

Almost surely, 2^{2801347495488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2801347495488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183316357760).

2801347495488 is an abundant number, since it is smaller than the sum of its proper divisors (5565285220032).

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

2801347495488 is a wasteful number, since it uses less digits than its factorization.

2801347495488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41642 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2801347495488 in words is "two trillion, eight hundred one billion, three hundred forty-seven million, four hundred ninety-five thousand, four hundred eighty-eight".