2002260000 has 480 divisors, whose sum is σ = 7538686848. Its totient is φ = 460800000.

The previous prime is 2002259993. The next prime is 2002260011. The reversal of 2002260000 is 622002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 13259925 + ... + 13260075.

Almost surely, 2^2002260000 is an apocalyptic number.

2002260000 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 2002260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769343424).

2002260000 is an abundant number, since it is smaller than the sum of its proper divisors (5536426848).

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

2002260000 is a wasteful number, since it uses less digits than its factorization.

2002260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002260000 is about 44746.6199840837. The cubic root of 2002260000 is about 1260.3954415143.

Adding to 2002260000 its reverse (622002), we get a palindrome (2002882002).

The spelling of 2002260000 in words is "two billion, two million, two hundred sixty thousand".