2228713885440 has 864 divisors, whose sum is σ = 9162467758080. Its totient is φ = 508118925312.

The previous prime is 2228713885423. The next prime is 2228713885471. The reversal of 2228713885440 is 445883178222.

It is a happy number.

2228713885440 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 7 + 13 + 88 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2228713885440² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042916052 + ... + 1042918188.

Almost surely, 2^{2228713885440} is an apocalyptic number.

2228713885440 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 2228713885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581233879040).

2228713885440 is an abundant number, since it is smaller than the sum of its proper divisors (6933753872640).

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

2228713885440 is an equidigital number, since it uses as much as digits as its factorization.

2228713885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2228713885440 in words is "two trillion, two hundred twenty-eight billion, seven hundred thirteen million, eight hundred eighty-five thousand, four hundred forty".