2733696 has 128 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 774144.

The previous prime is 2733649. The next prime is 2733697. The reversal of 2733696 is 6963372.

It is a tau number, because it is divible by the number of its divisors (128).

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 2733696.

It is not an unprimeable number, because it can be changed into a prime (2733697) 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, 24136 + ... + 24248.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

2^2733696 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 2733696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

2733696 is an abundant number, since it is smaller than the sum of its proper divisors (6568704).

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

2733696 is a wasteful number, since it uses less digits than its factorization.

2733696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 2733696 is about 1653.3892463664. The cubic root of 2733696 is about 139.8245421004.

It can be divided in two parts, 273 and 3696, that added together give a square (3969 = 63²).

The spelling of 2733696 in words is "two million, seven hundred thirty-three thousand, six hundred ninety-six".