2003534400 has 168 divisors, whose sum is σ = 7512425920. Its totient is φ = 457943040.

The previous prime is 2003534399. The next prime is 2003534437. The reversal of 2003534400 is 44353002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 3786 + ... + 63414.

Almost surely, 2^2003534400 is an apocalyptic number.

2003534400 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 2003534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756212960).

2003534400 is an abundant number, since it is smaller than the sum of its proper divisors (5508891520).

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

2003534400 is a wasteful number, since it uses less digits than its factorization.

2003534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59661 (or 59646 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2003534400 is about 44760.8579006256. The cubic root of 2003534400 is about 1260.6627906247.

Adding to 2003534400 its reverse (44353002), we get a palindrome (2047887402).

The spelling of 2003534400 in words is "two billion, three million, five hundred thirty-four thousand, four hundred".