2006390400 has 384 divisors, whose sum is σ = 7674806400. Its totient is φ = 451215360.

The previous prime is 2006390387. The next prime is 2006390423. The reversal of 2006390400 is 40936002.

2006390400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905396 + ... + 4905804.

It is an arithmetic number, because the mean of its divisors is an integer number (19986475).

Almost surely, 2^2006390400 is an apocalyptic number.

2006390400 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 2006390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837403200).

2006390400 is an abundant number, since it is smaller than the sum of its proper divisors (5668416000).

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

2006390400 is a wasteful number, since it uses less digits than its factorization.

2006390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2006390400 is about 44792.7494132700. The cubic root of 2006390400 is about 1261.2615231265.

The spelling of 2006390400 in words is "two billion, six million, three hundred ninety thousand, four hundred".