2005134014240 has 96 divisors (see below), whose sum is σ = 5416611782400. Its totient is φ = 687125320704.

The previous prime is 2005134014231. The next prime is 2005134014269. The reversal of 2005134014240 is 424104315002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756061 + ... + 2663459.

It is an arithmetic number, because the mean of its divisors is an integer number (56423039400).

Almost surely, 2^{2005134014240} is an apocalyptic number.

2005134014240 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 2005134014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708305891200).

2005134014240 is an abundant number, since it is smaller than the sum of its proper divisors (3411477768160).

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

2005134014240 is a wasteful number, since it uses less digits than its factorization.

2005134014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909394 (or 909386 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 2005134014240 its reverse (424104315002), we get a palindrome (2429238329242).

The spelling of 2005134014240 in words is "two trillion, five billion, one hundred thirty-four million, fourteen thousand, two hundred forty".