2104210400 has 144 divisors (see below), whose sum is σ = 5265225504. Its totient is φ = 820961280.

The previous prime is 2104210393. The next prime is 2104210441. The reversal of 2104210400 is 40124012.

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, 8000669 + ... + 8000931.

It is an arithmetic number, because the mean of its divisors is an integer number (36564066).

Almost surely, 2^2104210400 is an apocalyptic number.

2104210400 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 2104210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632612752).

2104210400 is an abundant number, since it is smaller than the sum of its proper divisors (3161015104).

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

2104210400 is a wasteful number, since it uses less digits than its factorization.

2104210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2104210400 is about 45871.6731763732. The cubic root of 2104210400 is about 1281.4344270706.

Adding to 2104210400 its reverse (40124012), we get a palindrome (2144334412).

It can be divided in two parts, 2104 and 210400, that multiplied together give a square (442681600 = 21040²).

The spelling of 2104210400 in words is "two billion, one hundred four million, two hundred ten thousand, four hundred".