2005130400000 has 864 divisors, whose sum is σ = 8210477995776. Its totient is φ = 423014400000.

The previous prime is 2005130399999. The next prime is 2005130400019. The reversal of 2005130400000 is 40315002.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 218395410 + ... + 218404590.

Almost surely, 2^{2005130400000} is an apocalyptic number.

2005130400000 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 2005130400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105238997888).

2005130400000 is an abundant number, since it is smaller than the sum of its proper divisors (6205347595776).

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

2005130400000 is an frugal number, since it uses more digits than its factorization.

2005130400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 2005130400000 its reverse (40315002), we get a palindrome (2005170715002).

The spelling of 2005130400000 in words is "two trillion, five billion, one hundred thirty million, four hundred thousand".