2628633 has 32 divisors (see below), whose sum is σ = 4257792. Its totient is φ = 1411200.

The previous prime is 2628617. The next prime is 2628649. The reversal of 2628633 is 3368262.

It is an interprime number because it is at equal distance from previous prime (2628617) and next prime (2628649).

It is not a de Polignac number, because 2628633 - 2⁴ = 2628617 is a prime.

It is a super-2 number, since 2×2628633² = 13819422897378, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

2628633 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2628633.

It is not an unprimeable number, because it can be changed into a prime (2628683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36988 + ... + 37058.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

2^2628633 is an apocalyptic number.

It is an amenable number.

2628633 is a deficient number, since it is larger than the sum of its proper divisors (1629159).

2628633 is a wasteful number, since it uses less digits than its factorization.

2628633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its digits is 10368, while the sum is 30.

The square root of 2628633 is about 1621.3059550868. The cubic root of 2628633 is about 138.0098186671.

The spelling of 2628633 in words is "two million, six hundred twenty-eight thousand, six hundred thirty-three".