2642442129 has 32 divisors (see below), whose sum is σ = 3971376000. Its totient is φ = 1736266752.

The previous prime is 2642442113. The next prime is 2642442151. The reversal of 2642442129 is 9212442462.

2642442129 is a `hidden beast` number, since 2 + 642 + 4 + 4 + 2 + 1 + 2 + 9 = 666.

It is not a de Polignac number, because 2642442129 - 2⁴ = 2642442113 is a prime.

It is a super-2 number, since 2×2642442129² = 13965000810228105282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2642442093 and 2642442102.

It is not an unprimeable number, because it can be changed into a prime (2642442629) 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, 832257 + ... + 835425.

It is an arithmetic number, because the mean of its divisors is an integer number (124105500).

Almost surely, 2^2642442129 is an apocalyptic number.

It is an amenable number.

2642442129 is a deficient number, since it is larger than the sum of its proper divisors (1328933871).

2642442129 is a wasteful number, since it uses less digits than its factorization.

2642442129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3608 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2642442129 is about 51404.6897568695. The cubic root of 2642442129 is about 1382.5106799389.

The spelling of 2642442129 in words is "two billion, six hundred forty-two million, four hundred forty-two thousand, one hundred twenty-nine".