2534416144352 has 96 divisors (see below), whose sum is σ = 5094345057984. Its totient is φ = 1240920576000.

The previous prime is 2534416144349. The next prime is 2534416144361.

2534416144352 is nontrivially palindromic in base 10.

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, 291945452 + ... + 291954132.

It is an arithmetic number, because the mean of its divisors is an integer number (53066094354).

Almost surely, 2^{2534416144352} is an apocalyptic number.

It is an amenable number.

2534416144352 is an abundant number, since it is smaller than the sum of its proper divisors (2559928913632).

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

2534416144352 is a wasteful number, since it uses less digits than its factorization.

2534416144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9764 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 2534416144352 in words is "two trillion, five hundred thirty-four billion, four hundred sixteen million, one hundred forty-four thousand, three hundred fifty-two".