2785752 has 48 divisors (see below), whose sum is σ = 7829640. Its totient is φ = 927936.

The previous prime is 2785751. The next prime is 2785759. The reversal of 2785752 is 2575872.

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

It is a d-powerful number, because it can be written as 2⁵ + 7³ + 8³ + 5 + 7⁷ + 5⁹ + 2¹³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228 + ... + 2660.

2^2785752 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 2785752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914820).

2785752 is an abundant number, since it is smaller than the sum of its proper divisors (5043888).

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

2785752 is a wasteful number, since it uses less digits than its factorization.

2785752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1438 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 2785752 is about 1669.0572189113. The cubic root of 2785752 is about 140.7064967609.

The spelling of 2785752 in words is "two million, seven hundred eighty-five thousand, seven hundred fifty-two".