2006261400 has 384 divisors, whose sum is σ = 7437024000. Its totient is φ = 440985600.

The previous prime is 2006261381. The next prime is 2006261401. The reversal of 2006261400 is 41626002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006261401) 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 95 ways as a sum of consecutive naturals, for example, 5748426 + ... + 5748774.

It is an arithmetic number, because the mean of its divisors is an integer number (19367250).

Almost surely, 2^2006261400 is an apocalyptic number.

2006261400 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 2006261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718512000).

2006261400 is an abundant number, since it is smaller than the sum of its proper divisors (5430762600).

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

2006261400 is a wasteful number, since it uses less digits than its factorization.

2006261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2006261400 is about 44791.3094249320. The cubic root of 2006261400 is about 1261.2344917931.

Adding to 2006261400 its reverse (41626002), we get a palindrome (2047887402).

The spelling of 2006261400 in words is "two billion, six million, two hundred sixty-one thousand, four hundred".