2010304400 has 120 divisors (see below), whose sum is σ = 5507475624. Its totient is φ = 698572800.

The previous prime is 2010304393. The next prime is 2010304411. The reversal of 2010304400 is 44030102.

It can be written as a sum of positive squares in 12 ways, for example, as 1092699136 + 917605264 = 33056^2 + 30292^2 .

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, 77030 + ... + 99770.

Almost surely, 2^2010304400 is an apocalyptic number.

2010304400 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 2010304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753737812).

2010304400 is an abundant number, since it is smaller than the sum of its proper divisors (3497171224).

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

2010304400 is a wasteful number, since it uses less digits than its factorization.

2010304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22789 (or 22778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2010304400 is about 44836.4182333959. The cubic root of 2010304400 is about 1262.0811328160.

Adding to 2010304400 its reverse (44030102), we get a palindrome (2054334502).

The spelling of 2010304400 in words is "two billion, ten million, three hundred four thousand, four hundred".