2816029349472 has 96 divisors (see below), whose sum is σ = 7519449369600. Its totient is φ = 922511006208.

The previous prime is 2816029349453. The next prime is 2816029349473. The reversal of 2816029349472 is 2749439206182.

It is a happy number.

2816029349472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816029349473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20940753 + ... + 21074799.

It is an arithmetic number, because the mean of its divisors is an integer number (78327597600).

Almost surely, 2^{2816029349472} 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 2816029349472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759724684800).

2816029349472 is an abundant number, since it is smaller than the sum of its proper divisors (4703420020128).

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

2816029349472 is a wasteful number, since it uses less digits than its factorization.

2816029349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137828 (or 137820 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 2816029349472 in words is "two trillion, eight hundred sixteen billion, twenty-nine million, three hundred forty-nine thousand, four hundred seventy-two".