2003213520 has 480 divisors, whose sum is σ = 8757725184. Its totient is φ = 397900800.

The previous prime is 2003213477. The next prime is 2003213551. The reversal of 2003213520 is 253123002.

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 = 2003213493 and 2003213502.

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 95 ways as a sum of consecutive naturals, for example, 1274335 + ... + 1275905.

Almost surely, 2^2003213520 is an apocalyptic number.

2003213520 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 2003213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378862592).

2003213520 is an abundant number, since it is smaller than the sum of its proper divisors (6754511664).

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

2003213520 is a wasteful number, since it uses less digits than its factorization.

2003213520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

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

The square root of 2003213520 is about 44757.2733753968. The cubic root of 2003213520 is about 1260.5954857203.

Adding to 2003213520 its reverse (253123002), we get a palindrome (2256336522).

It can be divided in two parts, 200321 and 3520, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 2003213520 in words is "two billion, three million, two hundred thirteen thousand, five hundred twenty".