2785952 has 48 divisors (see below), whose sum is σ = 6099912. Its totient is φ = 1244160.

The previous prime is 2785907. The next prime is 2785961. The reversal of 2785952 is 2595872.

It can be written as a sum of positive squares in 4 ways, for example, as 1628176 + 1157776 = 1276^2 + 1076^2 .

It is a zygodrome in base 4.

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, 15302 + ... + 15482.

2^2785952 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 2785952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049956).

2785952 is an abundant number, since it is smaller than the sum of its proper divisors (3313960).

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

2785952 is a wasteful number, since it uses less digits than its factorization.

2785952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 2785952 is about 1669.1171318994. The cubic root of 2785952 is about 140.7098639696.

The spelling of 2785952 in words is "two million, seven hundred eighty-five thousand, nine hundred fifty-two".