2345755057404 has 192 divisors, whose sum is σ = 6347859840000. Its totient is φ = 666315878400.

The previous prime is 2345755057397. The next prime is 2345755057409. The reversal of 2345755057404 is 4047505575432.

2345755057404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345755057409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095634174 + ... + 1095636314.

It is an arithmetic number, because the mean of its divisors is an integer number (33061770000).

Almost surely, 2^{2345755057404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345755057404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173929920000).

2345755057404 is an abundant number, since it is smaller than the sum of its proper divisors (4002104782596).

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

2345755057404 is a wasteful number, since it uses less digits than its factorization.

2345755057404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 51.

The spelling of 2345755057404 in words is "two trillion, three hundred forty-five billion, seven hundred fifty-five million, fifty-seven thousand, four hundred four".