2005630365002 has 24 divisors (see below), whose sum is σ = 3337141476900. Its totient is φ = 903286391040.

The previous prime is 2005630364993. The next prime is 2005630365007.

2005630365002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1955575699561 + 50054665441 = 1398419^2 + 223729^2 .

It is a super-2 number, since 2×2005630365002² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005630365002.

It is not an unprimeable number, because it can be changed into a prime (2005630365007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37990727 + ... + 38043482.

Almost surely, 2^{2005630365002} is an apocalyptic number.

2005630365002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2005630365002 is a deficient number, since it is larger than the sum of its proper divisors (1331511111898).

2005630365002 is a wasteful number, since it uses less digits than its factorization.

2005630365002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76034342 (or 76034331 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 2005630365002 in words is "two trillion, five billion, six hundred thirty million, three hundred sixty-five thousand, two".