2010403002400 has 144 divisors (see below), whose sum is σ = 5320903581000. Its totient is φ = 737320181760.

The previous prime is 2010403002389. The next prime is 2010403002401. The reversal of 2010403002400 is 42003040102.

It can be written as a sum of positive squares in 12 ways, for example, as 221197139856 + 1789205862544 = 470316^2 + 1337612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2010403002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900916 + ... + 2198284.

Almost surely, 2^{2010403002400} is an apocalyptic number.

2010403002400 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 2010403002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660451790500).

2010403002400 is an abundant number, since it is smaller than the sum of its proper divisors (3310500578600).

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

2010403002400 is a wasteful number, since it uses less digits than its factorization.

2010403002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297551 (or 1297538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2010403002400 its reverse (42003040102), we get a palindrome (2052406042502).

The spelling of 2010403002400 in words is "two trillion, ten billion, four hundred three million, two thousand, four hundred".