2757264 has 80 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 829440.

The previous prime is 2757259. The next prime is 2757311. The reversal of 2757264 is 4627572.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

Its product of digits (23520) is a multiple of the sum of its prime factors (168).

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, 25242 + ... + 25350.

It is an arithmetic number, because the mean of its divisors is an integer number (98208).

2^2757264 is an apocalyptic number.

2757264 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 2757264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2757264 is an abundant number, since it is smaller than the sum of its proper divisors (5099376).

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

2757264 is a wasteful number, since it uses less digits than its factorization.

2757264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 2757264 is about 1660.5011291776. The cubic root of 2757264 is about 140.2252157361.

It can be divided in two parts, 27 and 57264, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 2757264 in words is "two million, seven hundred fifty-seven thousand, two hundred sixty-four".