2348785760 has 96 divisors (see below), whose sum is σ = 5804773632. Its totient is φ = 896417280.

The previous prime is 2348785753. The next prime is 2348785763. The reversal of 2348785760 is 675878432.

2348785760 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 = 2348785699 and 2348785708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348785763) 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, 2895755 + ... + 2896565.

It is an arithmetic number, because the mean of its divisors is an integer number (60466392).

Almost surely, 2^2348785760 is an apocalyptic number.

2348785760 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 2348785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902386816).

2348785760 is an abundant number, since it is smaller than the sum of its proper divisors (3455987872).

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

2348785760 is a wasteful number, since it uses less digits than its factorization.

2348785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The square root of 2348785760 is about 48464.2730266327. The cubic root of 2348785760 is about 1329.2738720124.

The spelling of 2348785760 in words is "two billion, three hundred forty-eight million, seven hundred eighty-five thousand, seven hundred sixty".