2903329032016 has 80 divisors (see below), whose sum is σ = 6571854374400. Its totient is φ = 1216646507520.

The previous prime is 2903329032011. The next prime is 2903329032031. The reversal of 2903329032016 is 6102309233092.

It is a self number, because there is not a number n which added to its sum of digits gives 2903329032016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903329032011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5259046 + ... + 5784826.

It is an arithmetic number, because the mean of its divisors is an integer number (82148179680).

Almost surely, 2^{2903329032016} 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 2903329032016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285927187200).

2903329032016 is an abundant number, since it is smaller than the sum of its proper divisors (3668525342384).

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

2903329032016 is a wasteful number, since it uses less digits than its factorization.

2903329032016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526892 (or 526886 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 2903329032016 in words is "two trillion, nine hundred three billion, three hundred twenty-nine million, thirty-two thousand, sixteen".