2045477376 has 240 divisors, whose sum is σ = 6332451840. Its totient is φ = 633692160.

The previous prime is 2045477359. The next prime is 2045477381. The reversal of 2045477376 is 6737745402.

2045477376 is a `hidden beast` number, since 204 + 5 + 4 + 77 + 376 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5340481 + ... + 5340863.

It is an arithmetic number, because the mean of its divisors is an integer number (26385216).

Almost surely, 2^2045477376 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 2045477376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166225920).

2045477376 is an abundant number, since it is smaller than the sum of its proper divisors (4286974464).

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

2045477376 is a wasteful number, since it uses less digits than its factorization.

2045477376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 2045477376 is about 45226.9540871370. The cubic root of 2045477376 is about 1269.3992190142.

The spelling of 2045477376 in words is "two billion, forty-five million, four hundred seventy-seven thousand, three hundred seventy-six".