2671428840 has 96 divisors (see below), whose sum is σ = 8378082720. Its totient is φ = 681391744.

The previous prime is 2671428839. The next prime is 2671428853. The reversal of 2671428840 is 488241762.

It is a junction number, because it is equal to n+sod(n) for n = 2671428792 and 2671428801.

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 23 ways as a sum of consecutive naturals, for example, 42439 + ... + 84521.

It is an arithmetic number, because the mean of its divisors is an integer number (87271695).

Almost surely, 2^2671428840 is an apocalyptic number.

2671428840 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 2671428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189041360).

2671428840 is an abundant number, since it is smaller than the sum of its proper divisors (5706653880).

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

2671428840 is a wasteful number, since it uses less digits than its factorization.

2671428840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42143 (or 42116 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2671428840 is about 51685.8669270430. The cubic root of 2671428840 is about 1387.5475344481.

The spelling of 2671428840 in words is "two billion, six hundred seventy-one million, four hundred twenty-eight thousand, eight hundred forty".