2906496 has 96 divisors (see below), whose sum is σ = 8884200. Its totient is φ = 935424.

The previous prime is 2906483. The next prime is 2906509. The reversal of 2906496 is 6946092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2906496 is a `hidden beast` number, since 2 + 9 + 0 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2906483) and next prime (2906509).

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 a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2906496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100210 + ... + 100238.

2^2906496 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 2906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442100).

2906496 is an abundant number, since it is smaller than the sum of its proper divisors (5977704).

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

2906496 is an equidigital number, since it uses as much as digits as its factorization.

2906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2906496 is about 1704.8448609771. The cubic root of 2906496 is about 142.7107131979.

It can be divided in two parts, 290 and 6496, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 2906496 in words is "two million, nine hundred six thousand, four hundred ninety-six".