2452533642144 has 144 divisors (see below), whose sum is σ = 7509815389440. Its totient is φ = 756381173760.

The previous prime is 2452533642131. The next prime is 2452533642149. The reversal of 2452533642144 is 4412463352542.

2452533642144 is a `hidden beast` number, since 2 + 4 + 52 + 533 + 6 + 4 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2452533642144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2452533642144.

It is not an unprimeable number, because it can be changed into a prime (2452533642149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3956272 + ... + 4533999.

It is an arithmetic number, because the mean of its divisors is an integer number (52151495760).

Almost surely, 2^{2452533642144} is an apocalyptic number.

2452533642144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2452533642144 is an abundant number, since it is smaller than the sum of its proper divisors (5057281747296).

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

2452533642144 is a wasteful number, since it uses less digits than its factorization.

2452533642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490363 (or 8490352 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 2452533642144 its reverse (4412463352542), we get a palindrome (6864996994686).

The spelling of 2452533642144 in words is "two trillion, four hundred fifty-two billion, five hundred thirty-three million, six hundred forty-two thousand, one hundred forty-four".