2889348208032 has 384 divisors, whose sum is σ = 9440018961408. Its totient is φ = 760235212800.

The previous prime is 2889348208027. The next prime is 2889348208111. The reversal of 2889348208032 is 2308028439882.

It is a happy number.

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, 809112807 + ... + 809116377.

It is an arithmetic number, because the mean of its divisors is an integer number (24583382712).

Almost surely, 2^{2889348208032} is an apocalyptic number.

2889348208032 is a gapful number since it is divisible by the number (22) 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 2889348208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720009480704).

2889348208032 is an abundant number, since it is smaller than the sum of its proper divisors (6550670753376).

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

2889348208032 is a wasteful number, since it uses less digits than its factorization.

2889348208032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 2889348208032 in words is "two trillion, eight hundred eighty-nine billion, three hundred forty-eight million, two hundred eight thousand, thirty-two".