2679082128 has 200 divisors, whose sum is σ = 7950919680. Its totient is φ = 870704640.

The previous prime is 2679082117. The next prime is 2679082141. The reversal of 2679082128 is 8212809762.

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 39 ways as a sum of consecutive naturals, for example, 14026513 + ... + 14026703.

Almost surely, 2^2679082128 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 2679082128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975459840).

2679082128 is an abundant number, since it is smaller than the sum of its proper divisors (5271837552).

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

2679082128 is a wasteful number, since it uses less digits than its factorization.

2679082128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2679082128 is about 51759.8505407425. The cubic root of 2679082128 is about 1388.8713174220.

The spelling of 2679082128 in words is "two billion, six hundred seventy-nine million, eighty-two thousand, one hundred twenty-eight".