2001640672 has 24 divisors (see below), whose sum is σ = 3943164456. Its totient is φ = 1000202112.

The previous prime is 2001640657. The next prime is 2001640703. The reversal of 2001640672 is 2760461002.

It is a super-3 number, since 3×2001640672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2001640672.

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 3 ways as a sum of consecutive naturals, for example, 35703 + ... + 72649.

It is an arithmetic number, because the mean of its divisors is an integer number (164298519).

Almost surely, 2^2001640672 is an apocalyptic number.

It is an amenable number.

2001640672 is a deficient number, since it is larger than the sum of its proper divisors (1941523784).

2001640672 is a wasteful number, since it uses less digits than its factorization.

2001640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38650 (or 38642 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2001640672 is about 44739.6990602306. The cubic root of 2001640672 is about 1260.2654752620.

The spelling of 2001640672 in words is "two billion, one million, six hundred forty thousand, six hundred seventy-two".