2742337 has 8 divisors (see below), whose sum is σ = 2971304. Its totient is φ = 2515968.

The previous prime is 2742323. The next prime is 2742343. The reversal of 2742337 is 7332472.

It is a Cunningham number, because it is equal to 1656²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 2337841 = 636^2 + 1529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2742337 - 2⁷ = 2742209 is a prime.

It is a Duffinian number.

2742337 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2742317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963 + ... + 3055.

It is an arithmetic number, because the mean of its divisors is an integer number (371413).

2^2742337 is an apocalyptic number.

It is an amenable number.

2742337 is a deficient number, since it is larger than the sum of its proper divisors (228967).

2742337 is a wasteful number, since it uses less digits than its factorization.

2742337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299.

The product of its digits is 7056, while the sum is 28.

The square root of 2742337 is about 1656.0003019323. Note that the first 3 decimals coincide. The cubic root of 2742337 is about 139.9717119717.

The spelling of 2742337 in words is "two million, seven hundred forty-two thousand, three hundred thirty-seven".