2705952 has 48 divisors (see below), whose sum is σ = 7221312. Its totient is φ = 887040.

The previous prime is 2705951. The next prime is 2705957. The reversal of 2705952 is 2595072.

It is a happy number.

2705952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2705951) by changing a digit.

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, 6618 + ... + 7014.

It is an arithmetic number, because the mean of its divisors is an integer number (150444).

2^2705952 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 2705952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610656).

2705952 is an abundant number, since it is smaller than the sum of its proper divisors (4515360).

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

2705952 is a wasteful number, since it uses less digits than its factorization.

2705952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 2705952 is about 1644.9778114005. The cubic root of 2705952 is about 139.3499111603.

The spelling of 2705952 in words is "two million, seven hundred five thousand, nine hundred fifty-two".