2245600000000 has 432 divisors, whose sum is σ = 6430426395120. Its totient is φ = 768000000000.

The previous prime is 2245599999949. The next prime is 2245600000027. The reversal of 2245600000000 is 65422.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5599999800 + ... + 5600000200.

It is an arithmetic number, because the mean of its divisors is an integer number (14885246285).

Almost surely, 2^{2245600000000} is an apocalyptic number.

2245600000000 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 2245600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215213197560).

2245600000000 is an abundant number, since it is smaller than the sum of its proper divisors (4184826395120).

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

2245600000000 is an frugal number, since it uses more digits than its factorization.

2245600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 2245600000000 its reverse (65422), we get a palindrome (2245600065422).

It can be divided in two parts, 224 and 5600000000, that multiplied together give a square (1254400000000 = 1120000²).

The spelling of 2245600000000 in words is "two trillion, two hundred forty-five billion, six hundred million", and thus it is an aban number.