2841368400 has 360 divisors, whose sum is σ = 10735484760. Its totient is φ = 691752960.

The previous prime is 2841368377. The next prime is 2841368401. The reversal of 2841368400 is 48631482.

It can be written as a sum of positive squares in 12 ways, for example, as 1662682176 + 1178686224 = 40776^2 + 34332^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2841368401) 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 71 ways as a sum of consecutive naturals, for example, 5100922 + ... + 5101478.

It is an arithmetic number, because the mean of its divisors is an integer number (29820791).

Almost surely, 2^2841368400 is an apocalyptic number.

2841368400 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 2841368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367742380).

2841368400 is an abundant number, since it is smaller than the sum of its proper divisors (7894116360).

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

2841368400 is a wasteful number, since it uses less digits than its factorization.

2841368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2841368400 is about 53304.4876159597. The cubic root of 2841368400 is about 1416.3671603672.

Adding to 2841368400 its reverse (48631482), we get a palindrome (2889999882).

The spelling of 2841368400 in words is "two billion, eight hundred forty-one million, three hundred sixty-eight thousand, four hundred".