2754864 has 80 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 786240.

The previous prime is 2754859. The next prime is 2754883. The reversal of 2754864 is 4684572.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2569 + ... + 3479.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

2^2754864 is an apocalyptic number.

2754864 is a gapful number since it is divisible by the number (24) 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 2754864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

2754864 is an abundant number, since it is smaller than the sum of its proper divisors (6292176).

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

2754864 is a wasteful number, since it uses less digits than its factorization.

2754864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2754864 is about 1659.7782984483. The cubic root of 2754864 is about 140.1845186042.

The spelling of 2754864 in words is "two million, seven hundred fifty-four thousand, eight hundred sixty-four".