2806452 has 72 divisors (see below), whose sum is σ = 8168160. Its totient is φ = 803520.

The previous prime is 2806439. The next prime is 2806457. The reversal of 2806452 is 2546082.

2806452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7338 + ... + 7710.

2^2806452 is an apocalyptic number.

2806452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2806452 is the 1368-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084080).

2806452 is an abundant number, since it is smaller than the sum of its proper divisors (5361708).

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

2806452 is a wasteful number, since it uses less digits than its factorization.

2806452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2806452 is about 1675.2468474825. The cubic root of 2806452 is about 141.0541515256.

The spelling of 2806452 in words is "two million, eight hundred six thousand, four hundred fifty-two".