2128677408 has 240 divisors, whose sum is σ = 7356134016. Its totient is φ = 595330560.

The previous prime is 2128677373. The next prime is 2128677427. The reversal of 2128677408 is 8047768212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367785 + ... + 373527.

Almost surely, 2^2128677408 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 2128677408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678067008).

2128677408 is an abundant number, since it is smaller than the sum of its proper divisors (5227456608).

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

2128677408 is a wasteful number, since it uses less digits than its factorization.

2128677408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2128677408 is about 46137.5921348308. The cubic root of 2128677408 is about 1286.3819876627.

The spelling of 2128677408 in words is "two billion, one hundred twenty-eight million, six hundred seventy-seven thousand, four hundred eight".