2005155020 has 192 divisors, whose sum is σ = 4974649344. Its totient is φ = 672000000.

The previous prime is 2005155017. The next prime is 2005155041. The reversal of 2005155020 is 205515002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2005154983 and 2005155001.

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, 19852970 + ... + 19853070.

It is an arithmetic number, because the mean of its divisors is an integer number (25909632).

Almost surely, 2^2005155020 is an apocalyptic number.

2005155020 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 2005155020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487324672).

2005155020 is an abundant number, since it is smaller than the sum of its proper divisors (2969494324).

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

2005155020 is a wasteful number, since it uses less digits than its factorization.

2005155020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 2005155020 is about 44778.9573348911. The cubic root of 2005155020 is about 1261.0026075530.

The spelling of 2005155020 in words is "two billion, five million, one hundred fifty-five thousand, twenty".