2956096 has 112 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 1105920.

The previous prime is 2956061. The next prime is 2956097. The reversal of 2956096 is 6906592.

It is a happy number.

2956096 is a nontrivial binomial coefficient, being equal to C(2432, 2).

It is a super-2 number, since 2×2956096² = 17477007122432, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155575 + ... + 155593.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2^2956096 is an apocalyptic number.

2956096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2956096 is the 2431-st triangular number and also the 1216-th hexagonal number.

2956096 is the 811-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2956096 is an abundant number, since it is smaller than the sum of its proper divisors (4724864).

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

2956096 is a wasteful number, since it uses less digits than its factorization.

2956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 2956096 is about 1719.3301021037. The cubic root of 2956096 is about 143.5179353319.

The spelling of 2956096 in words is "two million, nine hundred fifty-six thousand, ninety-six".