2345213511040 has 128 divisors (see below), whose sum is σ = 5688915523200. Its totient is φ = 924325281792.

The previous prime is 2345213510993. The next prime is 2345213511041. The reversal of 2345213511040 is 401153125432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2345213510993 and 2345213511011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345213511041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48517924 + ... + 48566236.

It is an arithmetic number, because the mean of its divisors is an integer number (44444652525).

Almost surely, 2^{2345213511040} is an apocalyptic number.

2345213511040 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 2345213511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844457761600).

2345213511040 is an abundant number, since it is smaller than the sum of its proper divisors (3343702012160).

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

2345213511040 is a wasteful number, since it uses less digits than its factorization.

2345213511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49444 (or 49432 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 2345213511040 its reverse (401153125432), we get a palindrome (2746366636472).

The spelling of 2345213511040 in words is "two trillion, three hundred forty-five billion, two hundred thirteen million, five hundred eleven thousand, forty".