2808890296704 has 384 divisors, whose sum is σ = 8541637977600. Its totient is φ = 918642456576.

The previous prime is 2808890296687. The next prime is 2808890296721. The reversal of 2808890296704 is 4076920988082.

It is an interprime number because it is at equal distance from previous prime (2808890296687) and next prime (2808890296721).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400522702 + ... + 400529714.

It is an arithmetic number, because the mean of its divisors is an integer number (22243848900).

Almost surely, 2^{2808890296704} is an apocalyptic number.

2808890296704 is a gapful number since it is divisible by the number (24) 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 2808890296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270818988800).

2808890296704 is an abundant number, since it is smaller than the sum of its proper divisors (5732747680896).

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

2808890296704 is an equidigital number, since it uses as much as digits as its factorization.

2808890296704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 2808890296704 in words is "two trillion, eight hundred eight billion, eight hundred ninety million, two hundred ninety-six thousand, seven hundred four".