2800972668312 has 512 divisors, whose sum is σ = 10282161254400. Its totient is φ = 685465804800.

The previous prime is 2800972668287. The next prime is 2800972668331. The reversal of 2800972668312 is 2138662790082.

2800972668312 is a `hidden beast` number, since 280 + 0 + 97 + 266 + 8 + 3 + 12 = 666.

2800972668312 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23665762 + ... + 23783822.

It is an arithmetic number, because the mean of its divisors is an integer number (20082346200).

Almost surely, 2^{2800972668312} 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 2800972668312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141080627200).

2800972668312 is an abundant number, since it is smaller than the sum of its proper divisors (7481188586088).

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

2800972668312 is a wasteful number, since it uses less digits than its factorization.

2800972668312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118184 (or 118174 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2800972668312 in words is "two trillion, eight hundred billion, nine hundred seventy-two million, six hundred sixty-eight thousand, three hundred twelve".