2005421040 has 180 divisors, whose sum is σ = 7834581144. Its totient is φ = 458373888.

The previous prime is 2005421027. The next prime is 2005421149. The reversal of 2005421040 is 401245002.

2005421040 is a `hidden beast` number, since 20 + 0 + 542 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6859 + ... + 63701.

Almost surely, 2^2005421040 is an apocalyptic number.

2005421040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917290572).

2005421040 is an abundant number, since it is smaller than the sum of its proper divisors (5829160104).

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

2005421040 is a wasteful number, since it uses less digits than its factorization.

2005421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56876 (or 56860 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2005421040 is about 44781.9276047827. The cubic root of 2005421040 is about 1261.0583700047.

Adding to 2005421040 its reverse (401245002), we get a palindrome (2406666042).

The spelling of 2005421040 in words is "two billion, five million, four hundred twenty-one thousand, forty".