2516805 has 32 divisors (see below), whose sum is σ = 4542720. Its totient is φ = 1321920.

The previous prime is 2516783. The next prime is 2516837. The reversal of 2516805 is 5086152.

2516805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2516805 - 2¹² = 2512709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13815 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (141960).

2^2516805 is an apocalyptic number.

It is an amenable number.

2516805 is a deficient number, since it is larger than the sum of its proper divisors (2025915).

2516805 is a wasteful number, since it uses less digits than its factorization.

2516805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2516805 is about 1586.4441370562. Note that the first 3 decimals coincide. The cubic root of 2516805 is about 136.0243072182.

It can be divided in two parts, 2516 and 805, that added together give a triangular number (3321 = T₈₁).

The spelling of 2516805 in words is "two million, five hundred sixteen thousand, eight hundred five".