2967104 has 56 divisors (see below), whose sum is σ = 6949440. Its totient is φ = 1230336.

The previous prime is 2967091. The next prime is 2967109. The reversal of 2967104 is 4017692.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2967104² = 17607412293632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2967109) 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, 16487 + ... + 16665.

2^2967104 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 2967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474720).

2967104 is an abundant number, since it is smaller than the sum of its proper divisors (3982336).

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

2967104 is a wasteful number, since it uses less digits than its factorization.

2967104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2967104 is about 1722.5283742220. The cubic root of 2967104 is about 143.6958601414.

The spelling of 2967104 in words is "two million, nine hundred sixty-seven thousand, one hundred four".