2311145103040 has 224 divisors, whose sum is σ = 5813052940800. Its totient is φ = 874030694400.

The previous prime is 2311145103023. The next prime is 2311145103049. The reversal of 2311145103040 is 403015411132.

2311145103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2311145102996 and 2311145103014.

It is not an unprimeable number, because it can be changed into a prime (2311145103049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90150064 + ... + 90175696.

It is an arithmetic number, because the mean of its divisors is an integer number (25951129200).

Almost surely, 2^{2311145103040} is an apocalyptic number.

2311145103040 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 2311145103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906526470400).

2311145103040 is an abundant number, since it is smaller than the sum of its proper divisors (3501907837760).

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

2311145103040 is a wasteful number, since it uses less digits than its factorization.

2311145103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25891 (or 25881 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 2311145103040 in words is "two trillion, three hundred eleven billion, one hundred forty-five million, one hundred three thousand, forty".