2148547968 has 384 divisors, whose sum is σ = 7658976000. Its totient is φ = 564350976.

The previous prime is 2148547943. The next prime is 2148547993. The reversal of 2148547968 is 8697458412.

It is a happy number.

2148547968 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 547 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2148547943) and next prime (2148547993).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5668803 + ... + 5669181.

It is an arithmetic number, because the mean of its divisors is an integer number (19945250).

Almost surely, 2^2148547968 is an apocalyptic number.

2148547968 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 2148547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829488000).

2148547968 is an abundant number, since it is smaller than the sum of its proper divisors (5510428032).

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

2148547968 is a wasteful number, since it uses less digits than its factorization.

2148547968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2148547968 is about 46352.4321691969. The cubic root of 2148547968 is about 1290.3722596107.

The spelling of 2148547968 in words is "two billion, one hundred forty-eight million, five hundred forty-seven thousand, nine hundred sixty-eight".