2889190080 has 896 divisors, whose sum is σ = 12734300160. Its totient is φ = 602173440.

The previous prime is 2889190037. The next prime is 2889190097. The reversal of 2889190080 is 800919882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43122207 + ... + 43122273.

Almost surely, 2^2889190080 is an apocalyptic number.

2889190080 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 2889190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367150080).

2889190080 is an abundant number, since it is smaller than the sum of its proper divisors (9845110080).

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

2889190080 is a wasteful number, since it uses less digits than its factorization.

2889190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 2889190080 is about 53751.1867775959. The cubic root of 2889190080 is about 1424.2690544927.

The spelling of 2889190080 in words is "two billion, eight hundred eighty-nine million, one hundred ninety thousand, eighty".