2005745919 has 16 divisors (see below), whose sum is σ = 2710195200. Its totient is φ = 1319295296.

The previous prime is 2005745899. The next prime is 2005745933. The reversal of 2005745919 is 9195475002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005745919 is a prime.

It is a super-2 number, since 2×2005745919² = 8046033383170309122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005645919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120052 + ... + 135734.

It is an arithmetic number, because the mean of its divisors is an integer number (169387200).

Almost surely, 2^2005745919 is an apocalyptic number.

2005745919 is a deficient number, since it is larger than the sum of its proper divisors (704449281).

2005745919 is a wasteful number, since it uses less digits than its factorization.

2005745919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16254.

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 2005745919 is about 44785.5548028603. The cubic root of 2005745919 is about 1261.1264636457.

The spelling of 2005745919 in words is "two billion, five million, seven hundred forty-five thousand, nine hundred nineteen".