2003845248 has 96 divisors (see below), whose sum is σ = 5965209900. Its totient is φ = 644904960.

The previous prime is 2003845229. The next prime is 2003845309. The reversal of 2003845248 is 8425483002.

It can be written as a sum of positive squares in 2 ways, for example, as 1943751744 + 60093504 = 44088^2 + 7752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3418 + ... + 63398.

Almost surely, 2^2003845248 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 2003845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982604950).

2003845248 is an abundant number, since it is smaller than the sum of its proper divisors (3961364652).

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

2003845248 is a wasteful number, since it uses less digits than its factorization.

2003845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60030 (or 60015 counting only the distinct ones).

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

The square root of 2003845248 is about 44764.3300854598. The cubic root of 2003845248 is about 1260.7279844546.

The spelling of 2003845248 in words is "two billion, three million, eight hundred forty-five thousand, two hundred forty-eight".