2712820 has 72 divisors (see below), whose sum is σ = 6703200. Its totient is φ = 918720.

The previous prime is 2712811. The next prime is 2712823. The reversal of 2712820 is 282172.

2712820 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2712791 and 2712800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45951 + ... + 46009.

It is an arithmetic number, because the mean of its divisors is an integer number (93100).

2^2712820 is an apocalyptic number.

2712820 is a gapful number since it is divisible by the number (20) 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 2712820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351600).

2712820 is an abundant number, since it is smaller than the sum of its proper divisors (3990380).

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

2712820 is a wasteful number, since it uses less digits than its factorization.

2712820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2712820 is about 1647.0640546135. The cubic root of 2712820 is about 139.4677066258.

Adding to 2712820 its reverse (282172), we get a palindrome (2994992).

The spelling of 2712820 in words is "two million, seven hundred twelve thousand, eight hundred twenty".