2671284 has 96 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 682080.

The previous prime is 2671271. The next prime is 2671297. The reversal of 2671284 is 4821762.

2671284 = T₅₅ + T₅₆ + ... + T₂₅₂.

It is an interprime number because it is at equal distance from previous prime (2671271) and next prime (2671297).

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, 45247 + ... + 45305.

It is an arithmetic number, because the mean of its divisors is an integer number (84000).

2^2671284 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 2671284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

2671284 is an abundant number, since it is smaller than the sum of its proper divisors (5392716).

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

2671284 is a wasteful number, since it uses less digits than its factorization.

2671284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2671284 is about 1634.4063142316. The cubic root of 2671284 is about 138.7522457229.

It can be divided in two parts, 26712 and 84, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 2671284 in words is "two million, six hundred seventy-one thousand, two hundred eighty-four".