2889319680000 has 1920 divisors, whose sum is σ = 11820528720000. Its totient is φ = 692748288000.

The previous prime is 2889319679993. The next prime is 2889319680007. The reversal of 2889319680000 is 869139882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2889319679993) and next prime (2889319680007).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889319680007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26507519946 + ... + 26507520054.

It is an arithmetic number, because the mean of its divisors is an integer number (6156525375).

Almost surely, 2^{2889319680000} is an apocalyptic number.

2889319680000 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 2889319680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910264360000).

2889319680000 is an abundant number, since it is smaller than the sum of its proper divisors (8931209040000).

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

2889319680000 is a wasteful number, since it uses less digits than its factorization.

2889319680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2889319680000 in words is "two trillion, eight hundred eighty-nine billion, three hundred nineteen million, six hundred eighty thousand".