2002809680 has 20 divisors (see below), whose sum is σ = 4656532692. Its totient is φ = 801123840.

The previous prime is 2002809643. The next prime is 2002809691. The reversal of 2002809680 is 869082002.

It can be written as a sum of positive squares in 2 ways, for example, as 285204544 + 1717605136 = 16888^2 + 41444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2002809680² = 8022493228603404800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002809680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12517481 + ... + 12517640.

Almost surely, 2^2002809680 is an apocalyptic number.

2002809680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002809680 is an abundant number, since it is smaller than the sum of its proper divisors (2653723012).

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

2002809680 is a wasteful number, since it uses less digits than its factorization.

2002809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035134 (or 25035128 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2002809680 is about 44752.7617024916. The cubic root of 2002809680 is about 1260.5107696563.

The spelling of 2002809680 in words is "two billion, two million, eight hundred nine thousand, six hundred eighty".