2148208128 has 400 divisors, whose sum is σ = 7432921584. Its totient is φ = 610467840.

The previous prime is 2148208099. The next prime is 2148208129. The reversal of 2148208128 is 8218028412.

It is a super-2 number, since 2×2148208128² = 9229596322410528768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2148208092 and 2148208101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148208129) 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 39 ways as a sum of consecutive naturals, for example, 7755126 + ... + 7755402.

Almost surely, 2^2148208128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716460792).

2148208128 is an abundant number, since it is smaller than the sum of its proper divisors (5284713456).

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

2148208128 is a wasteful number, since it uses less digits than its factorization.

2148208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2148208128 is about 46348.7661971708. The cubic root of 2148208128 is about 1290.3042224622.

It can be divided in two parts, 2148 and 208128, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2148208128 in words is "two billion, one hundred forty-eight million, two hundred eight thousand, one hundred twenty-eight".