2006267760 has 720 divisors, whose sum is σ = 8567264160. Its totient is φ = 418037760.

The previous prime is 2006267729. The next prime is 2006267771. The reversal of 2006267760 is 677626002.

2006267760 is a `hidden beast` number, since 20 + 0 + 626 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2006267760² = 8050220649630835200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27483084 + ... + 27483156.

It is an arithmetic number, because the mean of its divisors is an integer number (11898978).

Almost surely, 2^2006267760 is an apocalyptic number.

2006267760 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 2006267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283632080).

2006267760 is an abundant number, since it is smaller than the sum of its proper divisors (6560996400).

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

2006267760 is a wasteful number, since it uses less digits than its factorization.

2006267760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2006267760 is about 44791.3804207908. The cubic root of 2006267760 is about 1261.2358245278.

The spelling of 2006267760 in words is "two billion, six million, two hundred sixty-seven thousand, seven hundred sixty".