2000400013 has 16 divisors (see below), whose sum is σ = 2137968000. Its totient is φ = 1865106432.

The previous prime is 2000400011. The next prime is 2000400037. The reversal of 2000400013 is 3100040002.

It is a cyclic number.

It is not a de Polignac number, because 2000400013 - 2¹ = 2000400011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000400011) 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, 1982053 + ... + 1983061.

It is an arithmetic number, because the mean of its divisors is an integer number (133623000).

Almost surely, 2^2000400013 is an apocalyptic number.

It is an amenable number.

2000400013 is a deficient number, since it is larger than the sum of its proper divisors (137567987).

2000400013 is a wasteful number, since it uses less digits than its factorization.

2000400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2000400013 is about 44725.8316076962. The cubic root of 2000400013 is about 1260.0050417620.

Adding to 2000400013 its reverse (3100040002), we get a palindrome (5100440015).

The spelling of 2000400013 in words is "two billion, four hundred thousand, thirteen".