2003536032 has 96 divisors (see below), whose sum is σ = 5322284352. Its totient is φ = 659902464.

The previous prime is 2003535973. The next prime is 2003536039. The reversal of 2003536032 is 2306353002.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 2003535993 and 2003536011.

It is not an unprimeable number, because it can be changed into a prime (2003536039) 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, 4626888 + ... + 4627320.

It is an arithmetic number, because the mean of its divisors is an integer number (55440462).

Almost surely, 2^2003536032 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 2003536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661142176).

2003536032 is an abundant number, since it is smaller than the sum of its proper divisors (3318748320).

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

2003536032 is a wasteful number, since it uses less digits than its factorization.

2003536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2003536032 is about 44760.8761308355. The cubic root of 2003536032 is about 1260.6631329200.

Adding to 2003536032 its reverse (2306353002), we get a palindrome (4309889034).

The spelling of 2003536032 in words is "two billion, three million, five hundred thirty-six thousand, thirty-two".