2000868480 has 320 divisors, whose sum is σ = 7697705400. Its totient is φ = 492355584.

The previous prime is 2000868451. The next prime is 2000868517. The reversal of 2000868480 is 848680002.

It can be written as a sum of positive squares in 4 ways, for example, as 561121344 + 1439747136 = 23688^2 + 37944^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 672436 + ... + 675404.

Almost surely, 2^2000868480 is an apocalyptic number.

2000868480 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 2000868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848852700).

2000868480 is an abundant number, since it is smaller than the sum of its proper divisors (5696836920).

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

2000868480 is a wasteful number, since it uses less digits than its factorization.

2000868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2000868480 is about 44731.0683977032. The cubic root of 2000868480 is about 1260.1033928761.

It can be divided in two parts, 20008 and 68480, that added together give a palindrome (88488).

The spelling of 2000868480 in words is "two billion, eight hundred sixty-eight thousand, four hundred eighty".