2002666600 has 96 divisors (see below), whose sum is σ = 5163107040. Its totient is φ = 716256000.

The previous prime is 2002666591. The next prime is 2002666609. The reversal of 2002666600 is 66662002.

It is an interprime number because it is at equal distance from previous prime (2002666591) and next prime (2002666609).

It is not an unprimeable number, because it can be changed into a prime (2002666609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126739 + ... + 141661.

It is an arithmetic number, because the mean of its divisors is an integer number (53782365).

Almost surely, 2^2002666600 is an apocalyptic number.

2002666600 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 2002666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581553520).

2002666600 is an abundant number, since it is smaller than the sum of its proper divisors (3160440440).

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

2002666600 is a wasteful number, since it uses less digits than its factorization.

2002666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011 (or 15002 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2002666600 is about 44751.1631133762. The cubic root of 2002666600 is about 1260.4807521301.

The spelling of 2002666600 in words is "two billion, two million, six hundred sixty-six thousand, six hundred".