2801787878016 has 384 divisors, whose sum is σ = 9087197544000. Its totient is φ = 848673423360.

The previous prime is 2801787877943. The next prime is 2801787878017. The reversal of 2801787878016 is 6108787871082.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2801787878017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28916371 + ... + 29013101.

Almost surely, 2^{2801787878016} 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 2801787878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543598772000).

2801787878016 is an abundant number, since it is smaller than the sum of its proper divisors (6285409665984).

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

2801787878016 is a wasteful number, since it uses less digits than its factorization.

2801787878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96817 (or 96782 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 63.

The spelling of 2801787878016 in words is "two trillion, eight hundred one billion, seven hundred eighty-seven million, eight hundred seventy-eight thousand, sixteen".