2005346435002 has 16 divisors (see below), whose sum is σ = 3060605512800. Its totient is φ = 985219990128.

The previous prime is 2005346434963. The next prime is 2005346435021.

2005346435002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2005346435002² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18794752 + ... + 18901147.

It is an arithmetic number, because the mean of its divisors is an integer number (191287844550).

Almost surely, 2^{2005346435002} is an apocalyptic number.

2005346435002 is a deficient number, since it is larger than the sum of its proper divisors (1055259077798).

2005346435002 is a wasteful number, since it uses less digits than its factorization.

2005346435002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37696365.

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 2005346435002 in words is "two trillion, five billion, three hundred forty-six million, four hundred thirty-five thousand, two".