2089908480 has 144 divisors (see below), whose sum is σ = 7281578304. Its totient is φ = 506634240.

The previous prime is 2089908479. The next prime is 2089908487. The reversal of 2089908480 is 848099802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2089908487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17502 + ... + 66978.

It is an arithmetic number, because the mean of its divisors is an integer number (50566516).

Almost surely, 2^2089908480 is an apocalyptic number.

2089908480 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 2089908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640789152).

2089908480 is an abundant number, since it is smaller than the sum of its proper divisors (5191669824).

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

2089908480 is a wasteful number, since it uses less digits than its factorization.

2089908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49512 (or 49498 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 2089908480 is about 45715.5168405652. The cubic root of 2089908480 is about 1278.5246021126.

It can be divided in two parts, 208990 and 8480, that added together give a triangular number (217470 = T₆₅₉).

The spelling of 2089908480 in words is "two billion, eighty-nine million, nine hundred eight thousand, four hundred eighty".