2222419248000 has 1536 divisors, whose sum is σ = 9941919436800. Its totient is φ = 477912268800.

The previous prime is 2222419247987. The next prime is 2222419248019. The reversal of 2222419248000 is 8429142222.

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

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 191 ways as a sum of consecutive naturals, for example, 873934729 + ... + 873937271.

It is an arithmetic number, because the mean of its divisors is an integer number (6472603800).

Almost surely, 2^{2222419248000} is an apocalyptic number.

2222419248000 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 2222419248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970959718400).

2222419248000 is an abundant number, since it is smaller than the sum of its proper divisors (7719500188800).

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

2222419248000 is a wasteful number, since it uses less digits than its factorization.

2222419248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2577 counting only the distinct ones).

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

The spelling of 2222419248000 in words is "two trillion, two hundred twenty-two billion, four hundred nineteen million, two hundred forty-eight thousand".