2749152 has 48 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 785280.

The previous prime is 2749147. The next prime is 2749157. The reversal of 2749152 is 2519472.

2749152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2749147) and next prime (2749157).

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

It is a d-powerful number, because it can be written as 2³ + 7⁴ + 4⁹ + 9⁶ + 1 + 5⁹ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1374 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

2^2749152 is an apocalyptic number.

It is an amenable number.

2749152 is an abundant number, since it is smaller than the sum of its proper divisors (5500320).

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

2749152 is a wasteful number, since it uses less digits than its factorization.

2749152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4103 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 2749152 is about 1658.0566938437. The cubic root of 2749152 is about 140.0875642683.

It can be divided in two parts, 27 and 49152, that multiplied together give a square (1327104 = 1152²).

The spelling of 2749152 in words is "two million, seven hundred forty-nine thousand, one hundred fifty-two".