2348568000 has 448 divisors, whose sum is σ = 8787018240. Its totient is φ = 614016000.

The previous prime is 2348567989. The next prime is 2348568031. The reversal of 2348568000 is 8658432.

2348568000 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17927935 + ... + 17928065.

It is an arithmetic number, because the mean of its divisors is an integer number (19613880).

Almost surely, 2^2348568000 is an apocalyptic number.

2348568000 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 2348568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393509120).

2348568000 is an abundant number, since it is smaller than the sum of its proper divisors (6438450240).

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

2348568000 is a wasteful number, since it uses less digits than its factorization.

2348568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2348568000 is about 48462.0263711702. The cubic root of 2348568000 is about 1329.2327909810.

The spelling of 2348568000 in words is "two billion, three hundred forty-eight million, five hundred sixty-eight thousand".