2006652928 has 192 divisors, whose sum is σ = 4953312000. Its totient is φ = 793608192.

The previous prime is 2006652913. The next prime is 2006652929. The reversal of 2006652928 is 8292566002.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006652929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14436283 + ... + 14436421.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^2006652928 is an apocalyptic number.

2006652928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).

2006652928 is an abundant number, since it is smaller than the sum of its proper divisors (2946659072).

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

2006652928 is a wasteful number, since it uses less digits than its factorization.

2006652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2006652928 is about 44795.6797916942. The cubic root of 2006652928 is about 1261.3165310360.

The spelling of 2006652928 in words is "two billion, six million, six hundred fifty-two thousand, nine hundred twenty-eight".