2754816 has 72 divisors (see below), whose sum is σ = 7799904. Its totient is φ = 860160.

The previous prime is 2754803. The next prime is 2754847. The reversal of 2754816 is 6184572.

It is a super-2 number, since 2×2754816² = 15178022387712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12951 + ... + 13161.

It is an arithmetic number, because the mean of its divisors is an integer number (108332).

2^2754816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899952).

2754816 is an abundant number, since it is smaller than the sum of its proper divisors (5045088).

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

2754816 is a wasteful number, since it uses less digits than its factorization.

2754816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 2754816 is about 1659.7638386228. The cubic root of 2754816 is about 140.1837044206.

It can be divided in two parts, 2754 and 816, that added together give a triangular number (3570 = T₈₄).

The spelling of 2754816 in words is "two million, seven hundred fifty-four thousand, eight hundred sixteen".