2128548240 has 960 divisors, whose sum is σ = 9802944000. Its totient is φ = 422682624.

The previous prime is 2128548239. The next prime is 2128548287. The reversal of 2128548240 is 428458212.

It is a super-2 number, since 2×2128548240² = 9061435220014195200, 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 = 2128548195 and 2128548204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125208712 + ... + 125208728.

It is an arithmetic number, because the mean of its divisors is an integer number (10211400).

Almost surely, 2^2128548240 is an apocalyptic number.

2128548240 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 2128548240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901472000).

2128548240 is an abundant number, since it is smaller than the sum of its proper divisors (7674395760).

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

2128548240 is a wasteful number, since it uses less digits than its factorization.

2128548240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2128548240 is about 46136.1923006223. The cubic root of 2128548240 is about 1286.3559679460.

The spelling of 2128548240 in words is "two billion, one hundred twenty-eight million, five hundred forty-eight thousand, two hundred forty".