2048262528 has 128 divisors (see below), whose sum is σ = 5942764800. Its totient is φ = 621250560.

The previous prime is 2048262523. The next prime is 2048262551. The reversal of 2048262528 is 8252628402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048262523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351543 + ... + 357321.

It is an arithmetic number, because the mean of its divisors is an integer number (46427850).

Almost surely, 2^2048262528 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 2048262528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971382400).

2048262528 is an abundant number, since it is smaller than the sum of its proper divisors (3894502272).

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

2048262528 is a wasteful number, since it uses less digits than its factorization.

2048262528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2048262528 is about 45257.7344550078. The cubic root of 2048262528 is about 1269.9751019154.

The spelling of 2048262528 in words is "two billion, forty-eight million, two hundred sixty-two thousand, five hundred twenty-eight".