2003551200 has 540 divisors, whose sum is σ = 8512939512. Its totient is φ = 457228800.

The previous prime is 2003551189. The next prime is 2003551213. The reversal of 2003551200 is 21553002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×2003551200² = 8028434822042880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3174885 + ... + 3175515.

Almost surely, 2^2003551200 is an apocalyptic number.

2003551200 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 2003551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256469756).

2003551200 is an abundant number, since it is smaller than the sum of its proper divisors (6509388312).

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

2003551200 is a wasteful number, since it uses less digits than its factorization.

2003551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2003551200 is about 44761.0455641957. The cubic root of 2003551200 is about 1260.6663142437. Note that the first 3 decimals are identical.

The spelling of 2003551200 in words is "two billion, three million, five hundred fifty-one thousand, two hundred".