2003253120 has 384 divisors, whose sum is σ = 7832522880. Its totient is φ = 485222400.

The previous prime is 2003253113. The next prime is 2003253151. The reversal of 2003253120 is 213523002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2003253093 and 2003253102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710135 + ... + 1711305.

It is an arithmetic number, because the mean of its divisors is an integer number (20397195).

Almost surely, 2^2003253120 is an apocalyptic number.

2003253120 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 2003253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916261440).

2003253120 is an abundant number, since it is smaller than the sum of its proper divisors (5829269760).

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

2003253120 is a wasteful number, since it uses less digits than its factorization.

2003253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2003253120 is about 44757.7157594085. The cubic root of 2003253120 is about 1260.6037922491.

Adding to 2003253120 its reverse (213523002), we get a palindrome (2216776122).

The spelling of 2003253120 in words is "two billion, three million, two hundred fifty-three thousand, one hundred twenty".