2683296 has 144 divisors (see below), whose sum is σ = 9592128. Its totient is φ = 696960.

The previous prime is 2683259. The next prime is 2683319. The reversal of 2683296 is 6923862.

2683296 = 55³ + 56³ + ... + 66³.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2683296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243931 + ... + 243941.

It is an arithmetic number, because the mean of its divisors is an integer number (66612).

2^2683296 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 2683296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796064).

2683296 is an abundant number, since it is smaller than the sum of its proper divisors (6908832).

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

2683296 is a wasteful number, since it uses less digits than its factorization.

2683296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2683296 is about 1638.0769212708. The cubic root of 2683296 is about 138.9599111484.

The spelling of 2683296 in words is "two million, six hundred eighty-three thousand, two hundred ninety-six".