2642752 has 56 divisors (see below), whose sum is σ = 6364224. Its totient is φ = 1062912.

The previous prime is 2642713. The next prime is 2642771. The reversal of 2642752 is 2572462.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2 + 6⁶ + 4⁵ + 2³ + 7⁶ + 5⁹ + 2¹⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2642752.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7443 + ... + 7789.

2^2642752 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 2642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182112).

2642752 is an abundant number, since it is smaller than the sum of its proper divisors (3721472).

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

2642752 is a wasteful number, since it uses less digits than its factorization.

2642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 2642752 is about 1625.6543298008. The cubic root of 2642752 is about 138.2564718741.

It can be divided in two parts, 26 and 42752, that added together give a triangular number (42778 = T₂₉₂).

The spelling of 2642752 in words is "two million, six hundred forty-two thousand, seven hundred fifty-two".