2006042137657 has 16 divisors (see below), whose sum is σ = 2030469080832. Its totient is φ = 1981738563840.

The previous prime is 2006042137633. The next prime is 2006042137667. The reversal of 2006042137657 is 7567312406002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2006042137657 is a prime.

It is a super-2 number, since 2×2006042137657² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006042137667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77828182 + ... + 77853952.

It is an arithmetic number, because the mean of its divisors is an integer number (126904317552).

Almost surely, 2^{2006042137657} is an apocalyptic number.

It is an amenable number.

2006042137657 is a deficient number, since it is larger than the sum of its proper divisors (24426943175).

2006042137657 is a wasteful number, since it uses less digits than its factorization.

2006042137657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28128.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 2006042137657 in words is "two trillion, six billion, forty-two million, one hundred thirty-seven thousand, six hundred fifty-seven".