2534242424352 has 192 divisors, whose sum is σ = 6906027340800. Its totient is φ = 813047500800.

The previous prime is 2534242424333. The next prime is 2534242424407.

2534242424352 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 516241674 + ... + 516246582.

It is an arithmetic number, because the mean of its divisors is an integer number (35968892400).

Almost surely, 2^{2534242424352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534242424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453013670400).

2534242424352 is an abundant number, since it is smaller than the sum of its proper divisors (4371784916448).

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

2534242424352 is a wasteful number, since it uses less digits than its factorization.

2534242424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6491 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 42.

The spelling of 2534242424352 in words is "two trillion, five hundred thirty-four billion, two hundred forty-two million, four hundred twenty-four thousand, three hundred fifty-two".