2006711280 has 640 divisors, whose sum is σ = 8630876160. Its totient is φ = 418037760.

The previous prime is 2006711249. The next prime is 2006711293. The reversal of 2006711280 is 821176002.

It is a super-2 number, since 2×2006711280² = 8053780322558476800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9510375 + ... + 9510585.

It is an arithmetic number, because the mean of its divisors is an integer number (13485744).

Almost surely, 2^2006711280 is an apocalyptic number.

2006711280 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 2006711280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315438080).

2006711280 is an abundant number, since it is smaller than the sum of its proper divisors (6624164880).

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

2006711280 is a wasteful number, since it uses less digits than its factorization.

2006711280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2006711280 is about 44796.3310997675. The cubic root of 2006711280 is about 1261.3287569716.

Adding to 2006711280 its reverse (821176002), we get a palindrome (2827887282).

The spelling of 2006711280 in words is "two billion, six million, seven hundred eleven thousand, two hundred eighty".