2892347990688 has 144 divisors (see below), whose sum is σ = 8225496941760. Its totient is φ = 889506588672.

The previous prime is 2892347990687. The next prime is 2892347990689. The reversal of 2892347990688 is 8860997432982.

2892347990688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2892347990687) and next prime (2892347990689).

It is not an unprimeable number, because it can be changed into a prime (2892347990687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33037020 + ... + 33124452.

It is an arithmetic number, because the mean of its divisors is an integer number (57121506540).

Almost surely, 2^{2892347990688} 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 2892347990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112748470880).

2892347990688 is an abundant number, since it is smaller than the sum of its proper divisors (5333148951072).

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

2892347990688 is a wasteful number, since it uses less digits than its factorization.

2892347990688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89511 (or 89490 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 75.

The spelling of 2892347990688 in words is "two trillion, eight hundred ninety-two billion, three hundred forty-seven million, nine hundred ninety thousand, six hundred eighty-eight".