2767296 has 112 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 752640.

The previous prime is 2767279. The next prime is 2767319. The reversal of 2767296 is 6927672.

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (63504) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

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, 38941 + ... + 39011.

2^2767296 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 2767296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

2767296 is an abundant number, since it is smaller than the sum of its proper divisors (6010944).

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

2767296 is a wasteful number, since it uses less digits than its factorization.

2767296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 2767296 is about 1663.5191612963. The cubic root of 2767296 is about 140.3950745425.

The spelling of 2767296 in words is "two million, seven hundred sixty-seven thousand, two hundred ninety-six".