2773344 has 48 divisors (see below), whose sum is σ = 8322048. Its totient is φ = 792192.

The previous prime is 2773339. The next prime is 2773349. The reversal of 2773344 is 4433772.

It is an interprime number because it is at equal distance from previous prime (2773339) and next prime (2773349).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹³ + 7⁴ + 7⁶ + 3⁷ + 3¹³ + 4² + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2773349) 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, 1392 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (173376).

2^2773344 is an apocalyptic number.

2773344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2773344 is an abundant number, since it is smaller than the sum of its proper divisors (5548704).

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

2773344 is a wasteful number, since it uses less digits than its factorization.

2773344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4139 counting only the distinct ones).

The product of its digits is 14112, while the sum is 30.

The square root of 2773344 is about 1665.3360021329. The cubic root of 2773344 is about 140.4972791949.

The spelling of 2773344 in words is "two million, seven hundred seventy-three thousand, three hundred forty-four".