2003046400 has 156 divisors (see below), whose sum is σ = 5135298304. Its totient is φ = 774144000.

The previous prime is 2003046347. The next prime is 2003046427. The reversal of 2003046400 is 46403002.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3174085 + ... + 3174715.

Almost surely, 2^2003046400 is an apocalyptic number.

2003046400 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 2003046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567649152).

2003046400 is an abundant number, since it is smaller than the sum of its proper divisors (3132251904).

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

2003046400 is an equidigital number, since it uses as much as digits as its factorization.

2003046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2003046400 is about 44755.4063773305. The cubic root of 2003046400 is about 1260.5604292848.

Adding to 2003046400 its reverse (46403002), we get a palindrome (2049449402).

It can be divided in two parts, 20030 and 46400, that added together give a triangular number (66430 = T₃₆₄).

The spelling of 2003046400 in words is "two billion, three million, forty-six thousand, four hundred".