2768612 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 1056000.

The previous prime is 2768611. The next prime is 2768627. The reversal of 2768612 is 2168672.

Added to its reverse (2168672) it gives a square (4937284 = 2222²).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2768611) 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, 27362 + ... + 27462.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

2^2768612 is an apocalyptic number.

2768612 is a gapful number since it is divisible by the number (22) 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 2768612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2768612 is an abundant number, since it is smaller than the sum of its proper divisors (3400348).

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

2768612 is a wasteful number, since it uses less digits than its factorization.

2768612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2768612 is about 1663.9146612732. The cubic root of 2768612 is about 140.4173261843.

Adding to 2768612 its reverse (2168672), we get a square (4937284 = 2222²).

It can be divided in two parts, 276 and 8612, that added together give a palindrome (8888).

The spelling of 2768612 in words is "two million, seven hundred sixty-eight thousand, six hundred twelve".