2006057712 has 80 divisors (see below), whose sum is σ = 5409922592. Its totient is φ = 639912960.

The previous prime is 2006057671. The next prime is 2006057719. The reversal of 2006057712 is 2177506002.

It is a self number, because there is not a number n which added to its sum of digits gives 2006057712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006057719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99078 + ... + 117594.

Almost surely, 2^2006057712 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 2006057712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704961296).

2006057712 is an abundant number, since it is smaller than the sum of its proper divisors (3403864880).

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

2006057712 is a wasteful number, since it uses less digits than its factorization.

2006057712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18626 (or 18620 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 2006057712 is about 44789.0356225717. The cubic root of 2006057712 is about 1261.1918075869.

The spelling of 2006057712 in words is "two billion, six million, fifty-seven thousand, seven hundred twelve".