2045931776 has 144 divisors (see below), whose sum is σ = 4980165120. Its totient is φ = 818872320.

The previous prime is 2045931757. The next prime is 2045931791. The reversal of 2045931776 is 6771395402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7280756 + ... + 7281036.

It is an arithmetic number, because the mean of its divisors is an integer number (34584480).

Almost surely, 2^2045931776 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 2045931776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490082560).

2045931776 is an abundant number, since it is smaller than the sum of its proper divisors (2934233344).

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

2045931776 is a wasteful number, since it uses less digits than its factorization.

2045931776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 2045931776 is about 45231.9773611546. The cubic root of 2045931776 is about 1269.4932104876.

The spelling of 2045931776 in words is "two billion, forty-five million, nine hundred thirty-one thousand, seven hundred seventy-six".