2005424252240 has 80 divisors (see below), whose sum is σ = 4778819667216. Its totient is φ = 782197248000.

The previous prime is 2005424252231. The next prime is 2005424252291. The reversal of 2005424252240 is 422524245002.

It can be written as a sum of positive squares in 8 ways, for example, as 154540189456 + 1850884062784 = 393116^2 + 1360472^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2005424252197 and 2005424252206.

It is a congruent number.

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, 6182090 + ... + 6498390.

Almost surely, 2^{2005424252240} is an apocalyptic number.

2005424252240 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 2005424252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389409833608).

2005424252240 is an abundant number, since it is smaller than the sum of its proper divisors (2773395414976).

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

2005424252240 is a wasteful number, since it uses less digits than its factorization.

2005424252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318288 (or 318282 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

Adding to 2005424252240 its reverse (422524245002), we get a palindrome (2427948497242).

The spelling of 2005424252240 in words is "two trillion, five billion, four hundred twenty-four million, two hundred fifty-two thousand, two hundred forty".