2671134414 has 64 divisors (see below), whose sum is σ = 5939673600. Its totient is φ = 795484800.

The previous prime is 2671134353. The next prime is 2671134421. The reversal of 2671134414 is 4144311762.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571989 + ... + 576639.

It is an arithmetic number, because the mean of its divisors is an integer number (92807400).

Almost surely, 2^2671134414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671134414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969836800).

2671134414 is an abundant number, since it is smaller than the sum of its proper divisors (3268539186).

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

2671134414 is a wasteful number, since it uses less digits than its factorization.

2671134414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905.

The product of its digits is 16128, while the sum is 33.

The square root of 2671134414 is about 51683.0186231416. The cubic root of 2671134414 is about 1387.4965573488.

The spelling of 2671134414 in words is "two billion, six hundred seventy-one million, one hundred thirty-four thousand, four hundred fourteen".