2768349 has 16 divisors (see below), whose sum is σ = 3929472. Its totient is φ = 1729728.

The previous prime is 2768341. The next prime is 2768351. The reversal of 2768349 is 9438672.

It is not a de Polignac number, because 2768349 - 2³ = 2768341 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2³ + 7⁶ + 6⁵ + 8 + 3¹³ + 4¹⁰ + 9 .

2768349 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768341) 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, 3279 + ... + 4035.

It is an arithmetic number, because the mean of its divisors is an integer number (245592).

2^2768349 is an apocalyptic number.

It is an amenable number.

2768349 is a deficient number, since it is larger than the sum of its proper divisors (1161123).

2768349 is a wasteful number, since it uses less digits than its factorization.

2768349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836.

The product of its digits is 72576, while the sum is 39.

The square root of 2768349 is about 1663.8356289009. The cubic root of 2768349 is about 140.4128798015.

It can be divided in two parts, 276 and 8349, that multiplied together give a square (2304324 = 1518²).

The spelling of 2768349 in words is "two million, seven hundred sixty-eight thousand, three hundred forty-nine".