2005100940 has 48 divisors (see below), whose sum is σ = 5617930752. Its totient is φ = 534346176.

The previous prime is 2005100891. The next prime is 2005100971. The reversal of 2005100940 is 490015002.

2005100940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89997 + ... + 110043.

It is an arithmetic number, because the mean of its divisors is an integer number (117040224).

Almost surely, 2^2005100940 is an apocalyptic number.

2005100940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005100940 is an abundant number, since it is smaller than the sum of its proper divisors (3612829812).

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

2005100940 is a wasteful number, since it uses less digits than its factorization.

2005100940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21726 (or 21724 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2005100940 is about 44778.3534757588. The cubic root of 2005100940 is about 1260.9912708345.

Adding to 2005100940 its reverse (490015002), we get a palindrome (2495115942).

The spelling of 2005100940 in words is "two billion, five million, one hundred thousand, nine hundred forty".