2005012980 has 192 divisors, whose sum is σ = 6784404480. Its totient is φ = 489535488.

The previous prime is 2005012979. The next prime is 2005012993. The reversal of 2005012980 is 892105002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336709 + ... + 342611.

It is an arithmetic number, because the mean of its divisors is an integer number (35335440).

Almost surely, 2^2005012980 is an apocalyptic number.

2005012980 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 2005012980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392202240).

2005012980 is an abundant number, since it is smaller than the sum of its proper divisors (4779391500).

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

2005012980 is a wasteful number, since it uses less digits than its factorization.

2005012980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2005012980 is about 44777.3712939918. The cubic root of 2005012980 is about 1260.9728314612.

Adding to 2005012980 its reverse (892105002), we get a palindrome (2897117982).

The spelling of 2005012980 in words is "two billion, five million, twelve thousand, nine hundred eighty".