2006377120 has 96 divisors (see below), whose sum is σ = 5222641536. Its totient is φ = 722304000.

The previous prime is 2006377097. The next prime is 2006377123. The reversal of 2006377120 is 217736002.

It is a super-3 number, since 3×2006377120³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2006377123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172117 + ... + 183403.

It is an arithmetic number, because the mean of its divisors is an integer number (54402516).

Almost surely, 2^2006377120 is an apocalyptic number.

2006377120 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 2006377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611320768).

2006377120 is an abundant number, since it is smaller than the sum of its proper divisors (3216264416).

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

2006377120 is a wasteful number, since it uses less digits than its factorization.

2006377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 2006377120 is about 44792.6011747476. The cubic root of 2006377120 is about 1261.2587404195.

The spelling of 2006377120 in words is "two billion, six million, three hundred seventy-seven thousand, one hundred twenty".