2010441400 has 96 divisors (see below), whose sum is σ = 5152326480. Its totient is φ = 723456000.

The previous prime is 2010441359. The next prime is 2010441451. The reversal of 2010441400 is 41440102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208690 + ... + 218110.

Almost surely, 2^2010441400 is an apocalyptic number.

2010441400 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 2010441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576163240).

2010441400 is an abundant number, since it is smaller than the sum of its proper divisors (3141885080).

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

2010441400 is a wasteful number, since it uses less digits than its factorization.

2010441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2010441400 is about 44837.9459832852. The cubic root of 2010441400 is about 1262.1098019714.

Adding to 2010441400 its reverse (41440102), we get a palindrome (2051881502).

It can be divided in two parts, 20104 and 41400, that added together give a square (61504 = 248²).

The spelling of 2010441400 in words is "two billion, ten million, four hundred forty-one thousand, four hundred".