2007642 has 32 divisors (see below), whose sum is σ = 4943232. Its totient is φ = 529344.

The previous prime is 2007631. The next prime is 2007659. The reversal of 2007642 is 2467002.

It is a happy number.

2007642 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

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 15 ways as a sum of consecutive naturals, for example, 1293 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (154476).

2^2007642 is an apocalyptic number.

2007642 is an abundant number, since it is smaller than the sum of its proper divisors (2935590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2007642 is a wasteful number, since it uses less digits than its factorization.

2007642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2007642 is about 1416.9128413562. The cubic root of 2007642 is about 126.1523729789.

The spelling of 2007642 in words is "two million, seven thousand, six hundred forty-two".