2005442021000 has 96 divisors (see below), whose sum is σ = 5158129780440. Its totient is φ = 729251600000.

The previous prime is 2005442020993. The next prime is 2005442021059. The reversal of 2005442021000 is 1202445002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 366637516036 + 1638804504964 = 605506^2 + 1280158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8165951 + ... + 8407950.

Almost surely, 2^{2005442021000} is an apocalyptic number.

2005442021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005442021000 is an abundant number, since it is smaller than the sum of its proper divisors (3152687759440).

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

2005442021000 is a wasteful number, since it uses less digits than its factorization.

2005442021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16573944 (or 16573919 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2005442021000 its reverse (1202445002), we get a palindrome (2006644466002).

The spelling of 2005442021000 in words is "two trillion, five billion, four hundred forty-two million, twenty-one thousand".