2754752 has 112 divisors (see below), whose sum is σ = 7510272. Its totient is φ = 967680.

The previous prime is 2754751. The next prime is 2754803. The reversal of 2754752 is 2574572.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹⁸ + 7⁴ + 5² + 4 + 7⁴ + 5⁸ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64043 + ... + 64085.

It is an arithmetic number, because the mean of its divisors is an integer number (67056).

2^2754752 is an apocalyptic number.

2754752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755136).

2754752 is an abundant number, since it is smaller than the sum of its proper divisors (4755520).

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

2754752 is a wasteful number, since it uses less digits than its factorization.

2754752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its digits is 19600, while the sum is 32.

The square root of 2754752 is about 1659.7445586596. The cubic root of 2754752 is about 140.1826188276.

The spelling of 2754752 in words is "two million, seven hundred fifty-four thousand, seven hundred fifty-two".