2003662332 has 252 divisors, whose sum is σ = 6297385080. Its totient is φ = 555532992.

The previous prime is 2003662291. The next prime is 2003662373. The reversal of 2003662332 is 2332663002.

2003662332 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 6 + 623 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2003662291) and next prime (2003662373).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2003662296 and 2003662305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5286519 + ... + 5286897.

Almost surely, 2^2003662332 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 2003662332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148692540).

2003662332 is an abundant number, since it is smaller than the sum of its proper divisors (4293722748).

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

2003662332 is a wasteful number, since it uses less digits than its factorization.

2003662332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2003662332 is about 44762.2869388953. The cubic root of 2003662332 is about 1260.6896224873.

The spelling of 2003662332 in words is "two billion, three million, six hundred sixty-two thousand, three hundred thirty-two".