2752084 has 24 divisors (see below), whose sum is σ = 5013288. Its totient is φ = 1320960.

The previous prime is 2752081. The next prime is 2752103. The reversal of 2752084 is 4802572.

2752084 = T₂₁₇ + T₂₁₈ + ... + T₂₉₈.

It can be written as a sum of positive squares in 4 ways, for example, as 280900 + 2471184 = 530^2 + 1572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15822 + ... + 15994.

It is an arithmetic number, because the mean of its divisors is an integer number (208887).

2^2752084 is an apocalyptic number.

It is an amenable number.

2752084 is a deficient number, since it is larger than the sum of its proper divisors (2261204).

2752084 is a wasteful number, since it uses less digits than its factorization.

2752084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2752084 is about 1658.9406258212. The cubic root of 2752084 is about 140.1373482025.

The spelling of 2752084 in words is "two million, seven hundred fifty-two thousand, eighty-four".