2049005376 has 336 divisors, whose sum is σ = 6999305280. Its totient is φ = 582819840.

The previous prime is 2049005369. The next prime is 2049005417. The reversal of 2049005376 is 6735009402.

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 2049005376.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5493126 + ... + 5493498.

Almost surely, 2^2049005376 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 2049005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499652640).

2049005376 is an abundant number, since it is smaller than the sum of its proper divisors (4950299904).

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

2049005376 is a wasteful number, since it uses less digits than its factorization.

2049005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 406 counting only the distinct ones).

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

The square root of 2049005376 is about 45265.9405734599. The cubic root of 2049005376 is about 1270.1286116058.

It can be divided in two parts, 204900 and 5376, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2049005376 in words is "two billion, forty-nine million, five thousand, three hundred seventy-six".