2689119888 has 480 divisors, whose sum is σ = 9410826240. Its totient is φ = 645765120.

The previous prime is 2689119887. The next prime is 2689119889. The reversal of 2689119888 is 8889119862.

It is an interprime number because it is at equal distance from previous prime (2689119887) and next prime (2689119889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689119887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37874893 + ... + 37874963.

It is an arithmetic number, because the mean of its divisors is an integer number (19605888).

Almost surely, 2^2689119888 is an apocalyptic number.

2689119888 is a gapful number since it is divisible by the number (28) 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 2689119888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705413120).

2689119888 is an abundant number, since it is smaller than the sum of its proper divisors (6721706352).

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

2689119888 is a wasteful number, since it uses less digits than its factorization.

2689119888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 60.

The square root of 2689119888 is about 51856.7246169675. The cubic root of 2689119888 is about 1390.6037244251.

The spelling of 2689119888 in words is "two billion, six hundred eighty-nine million, one hundred nineteen thousand, eight hundred eighty-eight".