2228801892408 has 384 divisors, whose sum is σ = 7645156646400. Its totient is φ = 570802940928.

The previous prime is 2228801892391. The next prime is 2228801892419. The reversal of 2228801892408 is 8042981088222.

2228801892408 is a `hidden beast` number, since 2 + 228 + 8 + 0 + 1 + 8 + 9 + 2 + 408 = 666.

2228801892408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126778963 + ... + 126796541.

It is an arithmetic number, because the mean of its divisors is an integer number (19909262100).

Almost surely, 2^{2228801892408} is an apocalyptic number.

2228801892408 is a gapful number since it is divisible by the number (28) 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 2228801892408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822578323200).

2228801892408 is an abundant number, since it is smaller than the sum of its proper divisors (5416354753992).

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

2228801892408 is a wasteful number, since it uses less digits than its factorization.

2228801892408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18171 (or 18164 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 2228801892408 in words is "two trillion, two hundred twenty-eight billion, eight hundred one million, eight hundred ninety-two thousand, four hundred eight".