2444134527252 has 72 divisors (see below), whose sum is σ = 6761147938272. Its totient is φ = 738310363200.

The previous prime is 2444134527239. The next prime is 2444134527253. The reversal of 2444134527252 is 2527254314442.

2444134527252 is a `hidden beast` number, since 2 + 4 + 4 + 41 + 34 + 527 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2444134527198 and 2444134527207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444134527253) 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, 9609574 + ... + 9860637.

It is an arithmetic number, because the mean of its divisors is an integer number (93904832476).

Almost surely, 2^{2444134527252} is an apocalyptic number.

2444134527252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2444134527252 is an abundant number, since it is smaller than the sum of its proper divisors (4317013411020).

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

2444134527252 is a wasteful number, since it uses less digits than its factorization.

2444134527252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19470549 (or 19470544 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 45.

The spelling of 2444134527252 in words is "two trillion, four hundred forty-four billion, one hundred thirty-four million, five hundred twenty-seven thousand, two hundred fifty-two".