2004013987248 has 160 divisors (see below), whose sum is σ = 6373889267200. Its totient is φ = 528352616448.

The previous prime is 2004013987181. The next prime is 2004013987267. The reversal of 2004013987248 is 8427893104002.

It is a super-2 number, since 2×2004013987248² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2004013987197 and 2004013987206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13111008 + ... + 13262976.

It is an arithmetic number, because the mean of its divisors is an integer number (39836807920).

Almost surely, 2^{2004013987248} is an apocalyptic number.

2004013987248 is a gapful number since it is divisible by the number (28) 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 2004013987248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186944633600).

2004013987248 is an abundant number, since it is smaller than the sum of its proper divisors (4369875279952).

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

2004013987248 is a wasteful number, since it uses less digits than its factorization.

2004013987248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155019 (or 155013 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 2004013987248 in words is "two trillion, four billion, thirteen million, nine hundred eighty-seven thousand, two hundred forty-eight".