2671234020 has 216 divisors, whose sum is σ = 10151124984. Its totient is φ = 563576832.

The previous prime is 2671234001. The next prime is 2671234081. The reversal of 2671234020 is 204321762.

It can be written as a sum of positive squares in 4 ways, for example, as 28451556 + 2642782464 = 5334^2 + 51408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103012 + ... + 126308.

It is an arithmetic number, because the mean of its divisors is an integer number (46995949).

Almost surely, 2^2671234020 is an apocalyptic number.

2671234020 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 2671234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075562492).

2671234020 is an abundant number, since it is smaller than the sum of its proper divisors (7479890964).

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

2671234020 is a wasteful number, since it uses less digits than its factorization.

2671234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23339 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2671234020 is about 51683.9822382138. The cubic root of 2671234020 is about 1387.5138036124.

Adding to 2671234020 its reverse (204321762), we get a palindrome (2875555782).

The spelling of 2671234020 in words is "two billion, six hundred seventy-one million, two hundred thirty-four thousand, twenty".