2796305480160 has 576 divisors, whose sum is σ = 9570279527424. Its totient is φ = 685864857600.

The previous prime is 2796305480159. The next prime is 2796305480161. The reversal of 2796305480160 is 610845036972.

It is an interprime number because it is at equal distance from previous prime (2796305480159) and next prime (2796305480161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2796305480161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066883650 + ... + 1066886270.

It is an arithmetic number, because the mean of its divisors is an integer number (16615068624).

It is a 1-persistent number, because it is pandigital, but 2⋅2796305480160 = 5592610960320 is not.

Almost surely, 2^{2796305480160} is an apocalyptic number.

2796305480160 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 2796305480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785139763712).

2796305480160 is an abundant number, since it is smaller than the sum of its proper divisors (6773974047264).

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

2796305480160 is a wasteful number, since it uses less digits than its factorization.

2796305480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 2796305480160 in words is "two trillion, seven hundred ninety-six billion, three hundred five million, four hundred eighty thousand, one hundred sixty".