2722496 has 56 divisors (see below), whose sum is σ = 6339840. Its totient is φ = 1135872.

The previous prime is 2722477. The next prime is 2722507. The reversal of 2722496 is 6942272.

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

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

It is a d-powerful number, because it can be written as 2¹⁵ + 7⁵ + 2¹⁹ + 2²¹ + 4⁶ + 9³ + 6⁶ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26381 + ... + 26483.

2^2722496 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 2722496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169920).

2722496 is an abundant number, since it is smaller than the sum of its proper divisors (3617344).

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

2722496 is a wasteful number, since it uses less digits than its factorization.

2722496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 2722496 is about 1649.9987878783. The cubic root of 2722496 is about 139.6333261979.

2722496 divided by its sum of digits (32) gives a triangular number (85078 = T₄₁₂).

The spelling of 2722496 in words is "two million, seven hundred twenty-two thousand, four hundred ninety-six".