2005453240252 has 72 divisors (see below), whose sum is σ = 4455274583088. Its totient is φ = 781063718400.

The previous prime is 2005453240211. The next prime is 2005453240253. The reversal of 2005453240252 is 2520423545002.

It is a super-3 number, since 3×2005453240252³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005453240253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5864052 + ... + 6196612.

It is an arithmetic number, because the mean of its divisors is an integer number (61878813654).

Almost surely, 2^{2005453240252} is an apocalyptic number.

2005453240252 is a gapful number since it is divisible by the number (22) 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 2005453240252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227637291544).

2005453240252 is an abundant number, since it is smaller than the sum of its proper divisors (2449821342836).

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

2005453240252 is a wasteful number, since it uses less digits than its factorization.

2005453240252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335387 (or 335378 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 2005453240252 its reverse (2520423545002), we get a palindrome (4525876785254).

The spelling of 2005453240252 in words is "two trillion, five billion, four hundred fifty-three million, two hundred forty thousand, two hundred fifty-two".