2001888400 has 30 divisors (see below), whose sum is σ = 4809537842. Its totient is φ = 800755200.

The previous prime is 2001888391. The next prime is 2001888403. The reversal of 2001888400 is 48881002.

It can be written as a sum of positive squares in 3 ways, for example, as 224760064 + 1777128336 = 14992^2 + 42156^2 .

It is not an unprimeable number, because it can be changed into a prime (2001888403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501961 + ... + 2502760.

Almost surely, 2^2001888400 is an apocalyptic number.

2001888400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001888400 is an abundant number, since it is smaller than the sum of its proper divisors (2807649442).

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

2001888400 is a wasteful number, since it uses less digits than its factorization.

2001888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004739 (or 5004728 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 2001888400 is about 44742.4675224780. The cubic root of 2001888400 is about 1260.3174643080.

The spelling of 2001888400 in words is "two billion, one million, eight hundred eighty-eight thousand, four hundred".