2516591 has 32 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 1811040.

The previous prime is 2516581. The next prime is 2516603. The reversal of 2516591 is 1956152.

It is a de Polignac number, because none of the positive numbers 2^k-2516591 is a prime.

It is a super-2 number, since 2×2516591² = 12666460522562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86765 + ... + 86793.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

2^2516591 is an apocalyptic number.

2516591 is a deficient number, since it is larger than the sum of its proper divisors (939409).

2516591 is a wasteful number, since it uses less digits than its factorization.

2516591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its digits is 2700, while the sum is 29.

The square root of 2516591 is about 1586.3766891883. The cubic root of 2516591 is about 136.0204517974.

The spelling of 2516591 in words is "two million, five hundred sixteen thousand, five hundred ninety-one".