2006938752 has 256 divisors, whose sum is σ = 6653337600. Its totient is φ = 521883648.

The previous prime is 2006938751. The next prime is 2006938763. The reversal of 2006938752 is 2578396002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2006938751) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2760213 + ... + 2760939.

It is an arithmetic number, because the mean of its divisors is an integer number (25989600).

Almost surely, 2^2006938752 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 2006938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326668800).

2006938752 is an abundant number, since it is smaller than the sum of its proper divisors (4646398848).

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

2006938752 is a wasteful number, since it uses less digits than its factorization.

2006938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2006938752 is about 44798.8699857485. The cubic root of 2006938752 is about 1261.3764147384.

The spelling of 2006938752 in words is "two billion, six million, nine hundred thirty-eight thousand, seven hundred fifty-two".