2148888960 has 256 divisors, whose sum is σ = 7818667200. Its totient is φ = 557383680.

The previous prime is 2148888949. The next prime is 2148888967. The reversal of 2148888960 is 698888412.

2148888960 is a `hidden beast` number, since 21 + 488 + 8 + 89 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2148888897 and 2148888906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148888967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637680 + ... + 641040.

Almost surely, 2^2148888960 is an apocalyptic number.

2148888960 is a gapful number since it is divisible by the number (20) 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 2148888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909333600).

2148888960 is an abundant number, since it is smaller than the sum of its proper divisors (5669778240).

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

2148888960 is a wasteful number, since it uses less digits than its factorization.

2148888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2148888960 is about 46356.1102768556. The cubic root of 2148888960 is about 1290.4405201831.

The spelling of 2148888960 in words is "two billion, one hundred forty-eight million, eight hundred eighty-eight thousand, nine hundred sixty".