2148799968 has 384 divisors, whose sum is σ = 7542743040. Its totient is φ = 582266880.

The previous prime is 2148799903. The next prime is 2148799981. The reversal of 2148799968 is 8699978412.

2148799968 is a `hidden beast` number, since 2 + 1 + 487 + 9 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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, 13686546 + ... + 13686702.

It is an arithmetic number, because the mean of its divisors is an integer number (19642560).

Almost surely, 2^2148799968 is an apocalyptic number.

2148799968 is a gapful number since it is divisible by the number (28) 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 2148799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771371520).

2148799968 is an abundant number, since it is smaller than the sum of its proper divisors (5393943072).

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

2148799968 is a wasteful number, since it uses less digits than its factorization.

2148799968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 2148799968 is about 46355.1503934568. The cubic root of 2148799968 is about 1290.4227062538.

The spelling of 2148799968 in words is "two billion, one hundred forty-eight million, seven hundred ninety-nine thousand, nine hundred sixty-eight".