2005049376 has 216 divisors, whose sum is σ = 6502506192. Its totient is φ = 607305600.

The previous prime is 2005049369. The next prime is 2005049447. The reversal of 2005049376 is 6739405002.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2005049376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 939831 + ... + 941961.

Almost surely, 2^2005049376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005049376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251253096).

2005049376 is an abundant number, since it is smaller than the sum of its proper divisors (4497456816).

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

2005049376 is a wasteful number, since it uses less digits than its factorization.

2005049376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2005049376 is about 44777.7777027847. Note that the first 4 decimals coincide. The cubic root of 2005049376 is about 1260.9804613519.

The spelling of 2005049376 in words is "two billion, five million, forty-nine thousand, three hundred seventy-six".