2741664 has 24 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 913856.

The previous prime is 2741659. The next prime is 2741693. The reversal of 2741664 is 4661472.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14184 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

2^2741664 is an apocalyptic number.

2741664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2741664 is an abundant number, since it is smaller than the sum of its proper divisors (4455456).

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

2741664 is a wasteful number, since it uses less digits than its factorization.

2741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28572 (or 28564 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2741664 is about 1655.7970890179. The cubic root of 2741664 is about 139.9602608299.

It can be divided in two parts, 274166 and 4, that added together give a triangular number (274170 = T₇₄₀).

The spelling of 2741664 in words is "two million, seven hundred forty-one thousand, six hundred sixty-four".