2006796672 has 96 divisors (see below), whose sum is σ = 5785417560. Its totient is φ = 667699200.

The previous prime is 2006796643. The next prime is 2006796703. The reversal of 2006796672 is 2766976002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794772 + ... + 797292.

Almost surely, 2^2006796672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892708780).

2006796672 is an abundant number, since it is smaller than the sum of its proper divisors (3778620888).

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

2006796672 is a wasteful number, since it uses less digits than its factorization.

2006796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2006796672 is about 44797.2842033979. The cubic root of 2006796672 is about 1261.3466479123.

The spelling of 2006796672 in words is "two billion, six million, seven hundred ninety-six thousand, six hundred seventy-two".