2005210110040 has 32 divisors (see below), whose sum is σ = 4511779866000. Its totient is φ = 802073889664.

The previous prime is 2005210110037. The next prime is 2005210110041. The reversal of 2005210110040 is 400110125002.

It is a junction number, because it is equal to n+sod(n) for n = 2005210109996 and 2005210110023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005210110041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3427266 + ... + 3969454.

Almost surely, 2^{2005210110040} is an apocalyptic number.

2005210110040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005210110040 is an abundant number, since it is smaller than the sum of its proper divisors (2506569755960).

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

2005210110040 is a wasteful number, since it uses less digits than its factorization.

2005210110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634659 (or 634655 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 2005210110040 its reverse (400110125002), we get a palindrome (2405320235042).

The spelling of 2005210110040 in words is "two trillion, five billion, two hundred ten million, one hundred ten thousand, forty".