2672631 has 24 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 1609920.

The previous prime is 2672629. The next prime is 2672633. The reversal of 2672631 is 1362762.

It is a happy number.

2672631 is a `hidden beast` number, since 26 + 7 + 2 + 631 = 666.

It is an interprime number because it is at equal distance from previous prime (2672629) and next prime (2672633).

It is not a de Polignac number, because 2672631 - 2¹ = 2672629 is a prime.

It is a super-2 number, since 2×2672631² = 14285912924322, which contains 22 as substring.

2672631 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2672595 and 2672604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5986 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

2^2672631 is an apocalyptic number.

2672631 is a deficient number, since it is larger than the sum of its proper divisors (1573065).

2672631 is a wasteful number, since it uses less digits than its factorization.

2672631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 500 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2672631 is about 1634.8183385318. The cubic root of 2672631 is about 138.7755638312.

The spelling of 2672631 in words is "two million, six hundred seventy-two thousand, six hundred thirty-one".