2006316400 has 240 divisors, whose sum is σ = 5612855040. Its totient is φ = 681523200.

The previous prime is 2006316383. The next prime is 2006316443. The reversal of 2006316400 is 46136002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8610684 + ... + 8610916.

It is an arithmetic number, because the mean of its divisors is an integer number (23386896).

Almost surely, 2^2006316400 is an apocalyptic number.

2006316400 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 2006316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806427520).

2006316400 is an abundant number, since it is smaller than the sum of its proper divisors (3606538640).

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

2006316400 is a wasteful number, since it uses less digits than its factorization.

2006316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2006316400 is about 44791.9233791093. The cubic root of 2006316400 is about 1261.2460169219.

It can be divided in two parts, 20063 and 16400, that added together give a palindrome (36463).

The spelling of 2006316400 in words is "two billion, six million, three hundred sixteen thousand, four hundred".