2731104 has 96 divisors (see below), whose sum is σ = 8316000. Its totient is φ = 870912.

The previous prime is 2731103. The next prime is 2731111. The reversal of 2731104 is 4011372.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2731104³ = 61113332964745838592, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731103) 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, 25002 + ... + 25110.

It is an arithmetic number, because the mean of its divisors is an integer number (86625).

2^2731104 is an apocalyptic number.

2731104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158000).

2731104 is an abundant number, since it is smaller than the sum of its proper divisors (5584896).

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

2731104 is a wasteful number, since it uses less digits than its factorization.

2731104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2731104 is about 1652.6052160150. The cubic root of 2731104 is about 139.7803357926.

Adding to 2731104 its reverse (4011372), we get a palindrome (6742476).

The spelling of 2731104 in words is "two million, seven hundred thirty-one thousand, one hundred four".