2006752320 has 336 divisors, whose sum is σ = 7249290048. Its totient is φ = 528353280.

The previous prime is 2006752291. The next prime is 2006752361. The reversal of 2006752320 is 232576002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10186462 + ... + 10186658.

It is an arithmetic number, because the mean of its divisors is an integer number (21575268).

Almost surely, 2^2006752320 is an apocalyptic number.

2006752320 is a gapful number since it is divisible by the number (20) 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 2006752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624645024).

2006752320 is an abundant number, since it is smaller than the sum of its proper divisors (5242537728).

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

2006752320 is a wasteful number, since it uses less digits than its factorization.

2006752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2006752320 is about 44796.7891706537. The cubic root of 2006752320 is about 1261.3373555478.

The spelling of 2006752320 in words is "two billion, six million, seven hundred fifty-two thousand, three hundred twenty".