2348849664 has 560 divisors, whose sum is σ = 8587307520. Its totient is φ = 627056640.

The previous prime is 2348849653. The next prime is 2348849669. The reversal of 2348849664 is 4669488432.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (7962624) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2348849664.

It is not an unprimeable number, because it can be changed into a prime (2348849669) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 75769329 + ... + 75769359.

Almost surely, 2^2348849664 is an apocalyptic number.

2348849664 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 2348849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293653760).

2348849664 is an abundant number, since it is smaller than the sum of its proper divisors (6238457856).

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

2348849664 is an frugal number, since it uses more digits than its factorization.

2348849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 2348849664 is about 48464.9323119304. The cubic root of 2348849664 is about 1329.2859271983.

The spelling of 2348849664 in words is "two billion, three hundred forty-eight million, eight hundred forty-nine thousand, six hundred sixty-four".