2228920416000 has 576 divisors, whose sum is σ = 8327771088000. Its totient is φ = 594360115200.

The previous prime is 2228920415989. The next prime is 2228920416001. The reversal of 2228920416000 is 6140298222.

2228920416000 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 9 + 2 + 0 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2228920416000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228920416001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69968076 + ... + 69999924.

Almost surely, 2^{2228920416000} is an apocalyptic number.

2228920416000 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 2228920416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163885544000).

2228920416000 is an abundant number, since it is smaller than the sum of its proper divisors (6098850672000).

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

2228920416000 is an frugal number, since it uses more digits than its factorization.

2228920416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31901 (or 31859 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2228920416000 in words is "two trillion, two hundred twenty-eight billion, nine hundred twenty million, four hundred sixteen thousand".