255301555002340 has 192 divisors, whose sum is σ = 675434204057088. Its totient is φ = 78741098496000.

The previous prime is 255301555002337. The next prime is 255301555002397. The reversal of 255301555002340 is 43200555103552.

255301555002340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255301555002340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 255301555002293 and 255301555002302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269077252 + ... + 270024388.

It is an arithmetic number, because the mean of its divisors is an integer number (3517886479464).

Almost surely, 2^{255301555002340} is an apocalyptic number.

255301555002340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255301555002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337717102028544).

255301555002340 is an abundant number, since it is smaller than the sum of its proper divisors (420132649054748).

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

255301555002340 is a wasteful number, since it uses less digits than its factorization.

255301555002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948998 (or 948996 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 255301555002340 in words is "two hundred fifty-five trillion, three hundred one billion, five hundred fifty-five million, two thousand, three hundred forty".