2005262120 has 16 divisors (see below), whose sum is σ = 4511839860. Its totient is φ = 802104832.

The previous prime is 2005262111. The next prime is 2005262137. The reversal of 2005262120 is 212625002.

It can be written as a sum of positive squares in 2 ways, for example, as 1895557444 + 109704676 = 43538^2 + 10474^2 .

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 = 2005262092 and 2005262101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25065737 + ... + 25065816.

Almost surely, 2^2005262120 is an apocalyptic number.

2005262120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005262120 is an abundant number, since it is smaller than the sum of its proper divisors (2506577740).

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

2005262120 is a wasteful number, since it uses less digits than its factorization.

2005262120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50131564 (or 50131560 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2005262120 is about 44780.1531931279. The cubic root of 2005262120 is about 1261.0250581821.

Adding to 2005262120 its reverse (212625002), we get a palindrome (2217887122).

The spelling of 2005262120 in words is "two billion, five million, two hundred sixty-two thousand, one hundred twenty".