2001406680 has 384 divisors, whose sum is σ = 8072064000. Its totient is φ = 418784256.

The previous prime is 2001406633. The next prime is 2001406727. The reversal of 2001406680 is 866041002.

2001406680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2001406633) and next prime (2001406727).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6519087 + ... + 6519393.

It is an arithmetic number, because the mean of its divisors is an integer number (21021000).

Almost surely, 2^2001406680 is an apocalyptic number.

2001406680 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 2001406680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032000).

2001406680 is an abundant number, since it is smaller than the sum of its proper divisors (6070657320).

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

2001406680 is a wasteful number, since it uses less digits than its factorization.

2001406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2001406680 is about 44737.0839460955. The cubic root of 2001406680 is about 1260.2163649605.

Adding to 2001406680 its reverse (866041002), we get a palindrome (2867447682).

The spelling of 2001406680 in words is "two billion, one million, four hundred six thousand, six hundred eighty".