2006735280 has 160 divisors (see below), whose sum is σ = 7081689600. Its totient is φ = 465315840.

The previous prime is 2006735273. The next prime is 2006735281. The reversal of 2006735280 is 825376002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2006735281) 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, 44196 + ... + 77244.

It is an arithmetic number, because the mean of its divisors is an integer number (44260560).

Almost surely, 2^2006735280 is an apocalyptic number.

2006735280 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 2006735280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540844800).

2006735280 is an abundant number, since it is smaller than the sum of its proper divisors (5074954320).

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

2006735280 is a wasteful number, since it uses less digits than its factorization.

2006735280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33099 (or 33093 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2006735280 is about 44796.5989780474. The cubic root of 2006735280 is about 1261.3337853930. Note that the first 3 decimals are identical.

The spelling of 2006735280 in words is "two billion, six million, seven hundred thirty-five thousand, two hundred eighty".