2764672 has 16 divisors (see below), whose sum is σ = 5508000. Its totient is φ = 1382272.

The previous prime is 2764667. The next prime is 2764679.

2764672 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×2764672² = 15286822535168, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2³ + 7 + 6⁴ + 4¹⁰ + 6⁸ + 7⁴ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10672 + ... + 10927.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

2^2764672 is an apocalyptic number.

It is an amenable number.

2764672 is a deficient number, since it is larger than the sum of its proper divisors (2743328).

2764672 is an equidigital number, since it uses as much as digits as its factorization.

2764672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21613 (or 21601 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 2764672 is about 1662.7302848027. The cubic root of 2764672 is about 140.3506854617.

The spelling of 2764672 in words is "two million, seven hundred sixty-four thousand, six hundred seventy-two".