2612349 has 12 divisors (see below), whose sum is σ = 3903900. Its totient is φ = 1681344.

The previous prime is 2612347. The next prime is 2612353. The reversal of 2612349 is 9432162.

2612349 is a `hidden beast` number, since 2 + 612 + 3 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 416025 = 1482^2 + 645^2 .

It is not a de Polignac number, because 2612349 - 2¹ = 2612347 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

2612349 is a modest number, since divided by 2349 gives 261 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4744 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (325325).

2^2612349 is an apocalyptic number.

2612349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2612349 is a deficient number, since it is larger than the sum of its proper divisors (1291551).

2612349 is a wasteful number, since it uses less digits than its factorization.

2612349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10041 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2612349 is about 1616.2762758885. The cubic root of 2612349 is about 137.7242445559.

It can be divided in two parts, 261 and 2349, that multiplied together give a square (613089 = 783²).

The spelling of 2612349 in words is "two million, six hundred twelve thousand, three hundred forty-nine".