2003413632 has 128 divisors (see below), whose sum is σ = 5892825600. Its totient is φ = 597949440.

The previous prime is 2003413631. The next prime is 2003413651. The reversal of 2003413632 is 2363143002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2003413632³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2003413631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279469 + ... + 286547.

It is an arithmetic number, because the mean of its divisors is an integer number (46037700).

Almost surely, 2^2003413632 is an apocalyptic number.

2003413632 is a gapful number since it is divisible by the number (22) 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 2003413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946412800).

2003413632 is an abundant number, since it is smaller than the sum of its proper divisors (3889411968).

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

2003413632 is a wasteful number, since it uses less digits than its factorization.

2003413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2003413632 is about 44759.5088444902. The cubic root of 2003413632 is about 1260.6374602580.

Adding to 2003413632 its reverse (2363143002), we get a palindrome (4366556634).

The spelling of 2003413632 in words is "two billion, three million, four hundred thirteen thousand, six hundred thirty-two".