2048481600 has 252 divisors, whose sum is σ = 7389339552. Its totient is φ = 496460800.

The previous prime is 2048481577. The next prime is 2048481607. The reversal of 2048481600 is 61848402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048481607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 579037 + ... + 582563.

It is an arithmetic number, because the mean of its divisors is an integer number (29322776).

Almost surely, 2^2048481600 is an apocalyptic number.

2048481600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694669776).

2048481600 is an abundant number, since it is smaller than the sum of its proper divisors (5340857952).

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

2048481600 is a wasteful number, since it uses less digits than its factorization.

2048481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2048481600 is about 45260.1546616889. The cubic root of 2048481600 is about 1270.0203770471.

The spelling of 2048481600 in words is "two billion, forty-eight million, four hundred eighty-one thousand, six hundred".