2148718208 has 288 divisors, whose sum is σ = 5737197060. Its totient is φ = 794271744.

The previous prime is 2148718183. The next prime is 2148718211. The reversal of 2148718208 is 8028178412.

It can be written as a sum of positive squares in 2 ways, for example, as 2093245504 + 55472704 = 45752^2 + 7448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29434460 + ... + 29434532.

Almost surely, 2^2148718208 is an apocalyptic number.

2148718208 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 2148718208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868598530).

2148718208 is an abundant number, since it is smaller than the sum of its proper divisors (3588478852).

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

2148718208 is a wasteful number, since it uses less digits than its factorization.

2148718208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 2148718208 is about 46354.2684981653. The cubic root of 2148718208 is about 1290.4063395529.

The spelling of 2148718208 in words is "two billion, one hundred forty-eight million, seven hundred eighteen thousand, two hundred eight".