2642106040 has 32 divisors (see below), whose sum is σ = 6793987680. Its totient is φ = 905864832.

The previous prime is 2642106029. The next prime is 2642106059. The reversal of 2642106040 is 406012462.

It is a junction number, because it is equal to n+sod(n) for n = 2642105996 and 2642106014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4717767 + ... + 4718326.

It is an arithmetic number, because the mean of its divisors is an integer number (212312115).

Almost surely, 2^2642106040 is an apocalyptic number.

2642106040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642106040 is an abundant number, since it is smaller than the sum of its proper divisors (4151881640).

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

2642106040 is a wasteful number, since it uses less digits than its factorization.

2642106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436111 (or 9436107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2642106040 is about 51401.4206029366. The cubic root of 2642106040 is about 1382.4520641699.

The spelling of 2642106040 in words is "two billion, six hundred forty-two million, one hundred six thousand, forty".