2008202560 has 112 divisors (see below), whose sum is σ = 5885663616. Its totient is φ = 635553792.

The previous prime is 2008202551. The next prime is 2008202597. The reversal of 2008202560 is 652028002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362 + ... + 63601.

It is an arithmetic number, because the mean of its divisors is an integer number (52550568).

Almost surely, 2^2008202560 is an apocalyptic number.

2008202560 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 2008202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942831808).

2008202560 is an abundant number, since it is smaller than the sum of its proper divisors (3877461056).

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

2008202560 is a wasteful number, since it uses less digits than its factorization.

2008202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69000 (or 68990 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2008202560 is about 44812.9731216307. The cubic root of 2008202560 is about 1261.6411301912.

The spelling of 2008202560 in words is "two billion, eight million, two hundred two thousand, five hundred sixty".