2756064 has 48 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 869760.

The previous prime is 2756059. The next prime is 2756069. The reversal of 2756064 is 4606572.

It is an interprime number because it is at equal distance from previous prime (2756059) and next prime (2756069).

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

It is a super-3 number, since 3×2756064³ = 62804266778333970432, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

2^2756064 is an apocalyptic number.

2756064 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 2756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2756064 is an abundant number, since it is smaller than the sum of its proper divisors (4864416).

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

2756064 is a wasteful number, since it uses less digits than its factorization.

2756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2756064 is about 1660.1397531533. The cubic root of 2756064 is about 140.2048701235.

The spelling of 2756064 in words is "two million, seven hundred fifty-six thousand, sixty-four".