2971904 has 72 divisors (see below), whose sum is σ = 6867840. Its totient is φ = 1271808.

The previous prime is 2971897. The next prime is 2971909. The reversal of 2971904 is 4091792.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2971909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63209 + ... + 63255.

2^2971904 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 2971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433920).

2971904 is an abundant number, since it is smaller than the sum of its proper divisors (3895936).

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

2971904 is a wasteful number, since it uses less digits than its factorization.

2971904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 2971904 is about 1723.9211118842. The cubic root of 2971904 is about 143.7733058621.

The spelling of 2971904 in words is "two million, nine hundred seventy-one thousand, nine hundred four".