2005117440 has 160 divisors (see below), whose sum is σ = 6462282816. Its totient is φ = 530350080.

The previous prime is 2005117421. The next prime is 2005117459. The reversal of 2005117440 is 447115002.

It is an interprime number because it is at equal distance from previous prime (2005117421) and next prime (2005117459).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2005117440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005084 + ... + 1007076.

Almost surely, 2^2005117440 is an apocalyptic number.

2005117440 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 2005117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231141408).

2005117440 is an abundant number, since it is smaller than the sum of its proper divisors (4457165376).

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

2005117440 is a wasteful number, since it uses less digits than its factorization.

2005117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2005117440 is about 44778.5377161872. The cubic root of 2005117440 is about 1260.9947297291.

The spelling of 2005117440 in words is "two billion, five million, one hundred seventeen thousand, four hundred forty".