254056432340 has 48 divisors (see below), whose sum is σ = 564944566032. Its totient is φ = 95637559296.

The previous prime is 254056432339. The next prime is 254056432361. The reversal of 254056432340 is 43234650452.

254056432340 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 8 ways, for example, as 19290987664 + 234765444676 = 138892^2 + 484526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 254056432294 and 254056432303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7230254 + ... + 7265306.

It is an arithmetic number, because the mean of its divisors is an integer number (11769678459).

Almost surely, 2^254056432340 is an apocalyptic number.

254056432340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254056432340 is an abundant number, since it is smaller than the sum of its proper divisors (310888133692).

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

254056432340 is a wasteful number, since it uses less digits than its factorization.

254056432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56396 (or 56394 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

The spelling of 254056432340 in words is "two hundred fifty-four billion, fifty-six million, four hundred thirty-two thousand, three hundred forty".