2822400000000 has 1215 divisors, whose sum is σ = 11855632113507. Its totient is φ = 645120000000.

The previous prime is 2822399999989. The next prime is 2822400000001. The reversal of 2822400000000 is 42282.

The square root of 2822400000000 is 1680000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2006687563776 + 815712436224 = 1416576^2 + 903168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2822400000001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 403199999997 + ... + 403200000003.

Almost surely, 2^{2822400000000} is an apocalyptic number.

2822400000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2822400000000 is the 1680000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822400000000

2822400000000 is an abundant number, since it is smaller than the sum of its proper divisors (9033232113507).

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

2822400000000 is an frugal number, since it uses more digits than its factorization.

2822400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Multiplying 2822400000000 by its product of nonzero digits (256), we get a square (722534400000000 = 26880000²).

2822400000000 divided by its product of nonzero digits (256) gives a square (11025000000 = 105000²).

Adding to 2822400000000 its reverse (42282), we get a palindrome (2822400042282).

The spelling of 2822400000000 in words is "two trillion, eight hundred twenty-two billion, four hundred million", and thus it is an aban number.