2226878892000 has 2880 divisors, whose sum is σ = 10385549830656. Its totient is φ = 464021913600.

The previous prime is 2226878891999. The next prime is 2226878892023. The reversal of 2226878892000 is 2988786222.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 9986003889 + ... + 9986004111.

Almost surely, 2^{2226878892000} is an apocalyptic number.

2226878892000 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 2226878892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192774915328).

2226878892000 is an abundant number, since it is smaller than the sum of its proper divisors (8158670938656).

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

2226878892000 is a wasteful number, since it uses less digits than its factorization.

2226878892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2226878892000 in words is "two trillion, two hundred twenty-six billion, eight hundred seventy-eight million, eight hundred ninety-two thousand".