2006479238400 has 1296 divisors, whose sum is σ = 8864516134656. Its totient is φ = 421647482880.

The previous prime is 2006479238383. The next prime is 2006479238431. The reversal of 2006479238400 is 48329746002.

2006479238400 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 7 + 9 + 238 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1640620189 + ... + 1640621411.

Almost surely, 2^{2006479238400} is an apocalyptic number.

2006479238400 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 2006479238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432258067328).

2006479238400 is an abundant number, since it is smaller than the sum of its proper divisors (6858036896256).

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

2006479238400 is a wasteful number, since it uses less digits than its factorization.

2006479238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2006479238400 in words is "two trillion, six billion, four hundred seventy-nine million, two hundred thirty-eight thousand, four hundred".