2045648748 has 288 divisors, whose sum is σ = 6062374080. Its totient is φ = 532224000.

The previous prime is 2045648741. The next prime is 2045648753. The reversal of 2045648748 is 8478465402.

It is a junction number, because it is equal to n+sod(n) for n = 2045648697 and 2045648706.

It is not an unprimeable number, because it can be changed into a prime (2045648741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20253898 + ... + 20253998.

It is an arithmetic number, because the mean of its divisors is an integer number (21049910).

Almost surely, 2^2045648748 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 2045648748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031187040).

2045648748 is an abundant number, since it is smaller than the sum of its proper divisors (4016725332).

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

2045648748 is a wasteful number, since it uses less digits than its factorization.

2045648748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The square root of 2045648748 is about 45228.8486256283. The cubic root of 2045648748 is about 1269.4346685072.

It can be divided in two parts, 204564 and 8748, that added together give a palindrome (213312).

The spelling of 2045648748 in words is "two billion, forty-five million, six hundred forty-eight thousand, seven hundred forty-eight".