2039416824256 has 112 divisors (see below), whose sum is σ = 4634729668800. Its totient is φ = 872219271168.

The previous prime is 2039416824253. The next prime is 2039416824301. The reversal of 2039416824256 is 6524286149302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039416824251) 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, 836854270 + ... + 836856706.

It is an arithmetic number, because the mean of its divisors is an integer number (41381514900).

Almost surely, 2^{2039416824256} 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 2039416824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317364834400).

2039416824256 is an abundant number, since it is smaller than the sum of its proper divisors (2595312844544).

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

2039416824256 is a wasteful number, since it uses less digits than its factorization.

2039416824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 2039416824256 in words is "two trillion, thirty-nine billion, four hundred sixteen million, eight hundred twenty-four thousand, two hundred fifty-six".