2546971 has 12 divisors (see below), whose sum is σ = 3016440. Its totient is φ = 2143680.

The previous prime is 2546959. The next prime is 2546987. The reversal of 2546971 is 1796452.

It is not a de Polignac number, because 2546971 - 2¹¹ = 2544923 is a prime.

It is a super-2 number, since 2×2546971² = 12974122549682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2546911) 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 11 ways as a sum of consecutive naturals, for example, 2451 + ... + 3331.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

2^2546971 is an apocalyptic number.

2546971 is a deficient number, since it is larger than the sum of its proper divisors (469469).

2546971 is an equidigital number, since it uses as much as digits as its factorization.

2546971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 947 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 2546971 is about 1595.9232437683. The cubic root of 2546971 is about 136.5656051062.

It can be divided in two parts, 254 and 6971, that added together give a square (7225 = 85²).

The spelling of 2546971 in words is "two million, five hundred forty-six thousand, nine hundred seventy-one".