2345312263140 has 576 divisors, whose sum is σ = 9256768335360. Its totient is φ = 466359828480.

The previous prime is 2345312263117. The next prime is 2345312263141. The reversal of 2345312263140 is 413622135432.

2345312263140 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 3 + 12 + 2 + 631 + 4 + 0 = 666.

It is a super-2 number, since 2×2345312263140² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2345312263095 and 2345312263104.

It is not an unprimeable number, because it can be changed into a prime (2345312263141) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 45393402 + ... + 45445038.

It is an arithmetic number, because the mean of its divisors is an integer number (16070778360).

Almost surely, 2^{2345312263140} is an apocalyptic number.

2345312263140 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 2345312263140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628384167680).

2345312263140 is an abundant number, since it is smaller than the sum of its proper divisors (6911456072220).

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

2345312263140 is a wasteful number, since it uses less digits than its factorization.

2345312263140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51812 (or 51807 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2345312263140 its reverse (413622135432), we get a palindrome (2758934398572).

The spelling of 2345312263140 in words is "two trillion, three hundred forty-five billion, three hundred twelve million, two hundred sixty-three thousand, one hundred forty".