2349563904 has 192 divisors, whose sum is σ = 7033740480. Its totient is φ = 754974720.

The previous prime is 2349563891. The next prime is 2349563929. The reversal of 2349563904 is 4093659432.

2349563904 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 5 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2349563904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9142144 + ... + 9142400.

It is an arithmetic number, because the mean of its divisors is an integer number (36634065).

Almost surely, 2^2349563904 is an apocalyptic number.

2349563904 is a gapful number since it is divisible by the number (24) 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 2349563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516870240).

2349563904 is an abundant number, since it is smaller than the sum of its proper divisors (4684176576).

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

2349563904 is an equidigital number, since it uses as much as digits as its factorization.

2349563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2349563904 is about 48472.3003786699. The cubic root of 2349563904 is about 1329.4206503037.

The spelling of 2349563904 in words is "two billion, three hundred forty-nine million, five hundred sixty-three thousand, nine hundred four".