2534344355300 has 72 divisors (see below), whose sum is σ = 5510897816424. Its totient is φ = 1011643914240.

The previous prime is 2534344355293. The next prime is 2534344355311. The reversal of 2534344355300 is 35534434352.

2534344355300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 263349606976 + 2270994748324 = 513176^2 + 1506982^2 .

It is a super-2 number, since 2×2534344355300² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103358642 + ... + 103383158.

Almost surely, 2^{2534344355300} is an apocalyptic number.

2534344355300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2534344355300 is an abundant number, since it is smaller than the sum of its proper divisors (2976553461124).

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

2534344355300 is a wasteful number, since it uses less digits than its factorization.

2534344355300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26625 (or 26618 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 41.

Adding to 2534344355300 its reverse (35534434352), we get a palindrome (2569878789652).

The spelling of 2534344355300 in words is "two trillion, five hundred thirty-four billion, three hundred forty-four million, three hundred fifty-five thousand, three hundred".