2716082833920 has 640 divisors, whose sum is σ = 9099158188032. Its totient is φ = 690492211200.

The previous prime is 2716082833913. The next prime is 2716082833963. The reversal of 2716082833920 is 293382806172.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6301816105 + ... + 6301816535.

Almost surely, 2^{2716082833920} is an apocalyptic number.

2716082833920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2716082833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549579094016).

2716082833920 is an abundant number, since it is smaller than the sum of its proper divisors (6383075354112).

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

2716082833920 is a wasteful number, since it uses less digits than its factorization.

2716082833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 2716082833920 in words is "two trillion, seven hundred sixteen billion, eighty-two million, eight hundred thirty-three thousand, nine hundred twenty".