2889262080 has 132 divisors (see below), whose sum is σ = 10011377532. Its totient is φ = 770457600.

The previous prime is 2889262049. The next prime is 2889262097. The reversal of 2889262080 is 802629882.

It can be written as a sum of positive squares in 2 ways, for example, as 1201038336 + 1688223744 = 34656^2 + 41088^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14730 + ... + 77430.

Almost surely, 2^2889262080 is an apocalyptic number.

2889262080 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 2889262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005688766).

2889262080 is an abundant number, since it is smaller than the sum of its proper divisors (7122115452).

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

2889262080 is a wasteful number, since it uses less digits than its factorization.

2889262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62732 (or 62711 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2889262080 is about 53751.8565260773. The cubic root of 2889262080 is about 1424.2808855500.

The spelling of 2889262080 in words is "two billion, eight hundred eighty-nine million, two hundred sixty-two thousand, eighty".