2003552640 has 192 divisors, whose sum is σ = 7050129840. Its totient is φ = 524120064.

The previous prime is 2003552623. The next prime is 2003552713. The reversal of 2003552640 is 462553002.

2003552640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301999 + ... + 308561.

Almost surely, 2^2003552640 is an apocalyptic number.

2003552640 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 2003552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525064920).

2003552640 is an abundant number, since it is smaller than the sum of its proper divisors (5046577200).

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

2003552640 is a wasteful number, since it uses less digits than its factorization.

2003552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2003552640 is about 44761.0616496079. The cubic root of 2003552640 is about 1260.6666162673. Note that the first 4 decimals are identical.

The spelling of 2003552640 in words is "two billion, three million, five hundred fifty-two thousand, six hundred forty".