2671014240 has 144 divisors (see below), whose sum is σ = 9128246400. Its totient is φ = 711223296.

The previous prime is 2671014239. The next prime is 2671014251. The reversal of 2671014240 is 424101762.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855441 + ... + 1856879.

It is an arithmetic number, because the mean of its divisors is an integer number (63390600).

Almost surely, 2^2671014240 is an apocalyptic number.

2671014240 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 2671014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564123200).

2671014240 is an abundant number, since it is smaller than the sum of its proper divisors (6457232160).

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

2671014240 is a wasteful number, since it uses less digits than its factorization.

2671014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2671014240 is about 51681.8560038240. The cubic root of 2671014240 is about 1387.4757492718.

The spelling of 2671014240 in words is "two billion, six hundred seventy-one million, fourteen thousand, two hundred forty".