2005980900 has 288 divisors, whose sum is σ = 7434857472. Its totient is φ = 405388800.

The previous prime is 2005980887. The next prime is 2005980923. The reversal of 2005980900 is 90895002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853527 + ... + 855873.

Almost surely, 2^2005980900 is an apocalyptic number.

2005980900 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 2005980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717428736).

2005980900 is an abundant number, since it is smaller than the sum of its proper divisors (5428876572).

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

2005980900 is a wasteful number, since it uses less digits than its factorization.

2005980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2005980900 is about 44788.1781277158. The cubic root of 2005980900 is about 1261.1757103595.

The spelling of 2005980900 in words is "two billion, five million, nine hundred eighty thousand, nine hundred".