2005404987600 has 2880 divisors, whose sum is σ = 9168039636480. Its totient is φ = 413857382400.

The previous prime is 2005404987517. The next prime is 2005404987671. The reversal of 2005404987600 is 67894045002.

It is a happy number.

2005404987600 is a `hidden beast` number, since 2 + 0 + 0 + 540 + 49 + 8 + 7 + 60 + 0 = 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 575 ways as a sum of consecutive naturals, for example, 27471301164 + ... + 27471301236.

It is an arithmetic number, because the mean of its divisors is an integer number (3183347096).

Almost surely, 2^{2005404987600} is an apocalyptic number.

2005404987600 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 2005404987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584019818240).

2005404987600 is an abundant number, since it is smaller than the sum of its proper divisors (7162634648880).

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

2005404987600 is a wasteful number, since it uses less digits than its factorization.

2005404987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2005404987600 in words is "two trillion, five billion, four hundred four million, nine hundred eighty-seven thousand, six hundred".