2006852760 has 240 divisors, whose sum is σ = 7415654400. Its totient is φ = 486414720.

The previous prime is 2006852719. The next prime is 2006852761. The reversal of 2006852760 is 672586002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006852761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 389481 + ... + 394599.

It is an arithmetic number, because the mean of its divisors is an integer number (30898560).

Almost surely, 2^2006852760 is an apocalyptic number.

2006852760 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 2006852760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707827200).

2006852760 is an abundant number, since it is smaller than the sum of its proper divisors (5408801640).

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

2006852760 is a wasteful number, since it uses less digits than its factorization.

2006852760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2006852760 is about 44797.9102191162. The cubic root of 2006852760 is about 1261.3583989370.

The spelling of 2006852760 in words is "two billion, six million, eight hundred fifty-two thousand, seven hundred sixty".