2048053248 has 130 divisors (see below), whose sum is σ = 6119119314. Its totient is φ = 682573824.

The previous prime is 2048053243. The next prime is 2048053261. The reversal of 2048053248 is 8423508402.

2048053248 is a `hidden beast` number, since 2 + 0 + 4 + 80 + 532 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1116094464 + 931958784 = 33408^2 + 30528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048053243) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 328690 + ... + 334862.

Almost surely, 2^2048053248 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 2048053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059559657).

2048053248 is an abundant number, since it is smaller than the sum of its proper divisors (4071066066).

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

2048053248 is an frugal number, since it uses more digits than its factorization.

2048053248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2048053248 is about 45255.4223049570. The cubic root of 2048053248 is about 1269.9318474598.

The spelling of 2048053248 in words is "two billion, forty-eight million, fifty-three thousand, two hundred forty-eight".