2971296 has 96 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 933120.

The previous prime is 2971273. The next prime is 2971307. The reversal of 2971296 is 6921792.

2971296 = T₈₃ + T₈₄ + ... + T₂₆₃.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2971296.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16326 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

2^2971296 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 2971296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

2971296 is an abundant number, since it is smaller than the sum of its proper divisors (6201504).

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

2971296 is a wasteful number, since it uses less digits than its factorization.

2971296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 2971296 is about 1723.7447606882. The cubic root of 2971296 is about 143.7635006854.

The spelling of 2971296 in words is "two million, nine hundred seventy-one thousand, two hundred ninety-six".