2005426080 has 768 divisors, whose sum is σ = 8778792960. Its totient is φ = 417153024.

The previous prime is 2005426061. The next prime is 2005426103. The reversal of 2005426080 is 806245002.

2005426080 is a `hidden beast` number, since 2 + 0 + 0 + 54 + 2 + 608 + 0 = 666.

2005426080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24161719 + ... + 24161801.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2^2005426080 is an apocalyptic number.

2005426080 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 2005426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389396480).

2005426080 is an abundant number, since it is smaller than the sum of its proper divisors (6773366880).

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

2005426080 is a wasteful number, since it uses less digits than its factorization.

2005426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2005426080 is about 44781.9838774479. The cubic root of 2005426080 is about 1261.0594264294.

The spelling of 2005426080 in words is "two billion, five million, four hundred twenty-six thousand, eighty".