2005956040 has 128 divisors (see below), whose sum is σ = 5161190400. Its totient is φ = 694552320.

The previous prime is 2005956011. The next prime is 2005956041. The reversal of 2005956040 is 406595002.

It is a junction number, because it is equal to n+sod(n) for n = 2005955993 and 2005956011.

It is not an unprimeable number, because it can be changed into a prime (2005956041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3835219 + ... + 3835741.

It is an arithmetic number, because the mean of its divisors is an integer number (40321800).

Almost surely, 2^2005956040 is an apocalyptic number.

2005956040 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 2005956040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580595200).

2005956040 is an abundant number, since it is smaller than the sum of its proper divisors (3155234360).

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

2005956040 is a wasteful number, since it uses less digits than its factorization.

2005956040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2005956040 is about 44787.9005982643. The cubic root of 2005956040 is about 1261.1705004466.

The spelling of 2005956040 in words is "two billion, five million, nine hundred fifty-six thousand, forty".