2228815680 has 448 divisors, whose sum is σ = 9001402368. Its totient is φ = 454533120.

The previous prime is 2228815627. The next prime is 2228815709. The reversal of 2228815680 is 865188222.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707749 + ... + 2708571.

It is an arithmetic number, because the mean of its divisors is an integer number (20092416).

Almost surely, 2^2228815680 is an apocalyptic number.

2228815680 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 2228815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500701184).

2228815680 is an abundant number, since it is smaller than the sum of its proper divisors (6772586688).

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

2228815680 is a wasteful number, since it uses less digits than its factorization.

2228815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 2228815680 is about 47210.3344618527. The cubic root of 2228815680 is about 1306.2452317615.

The spelling of 2228815680 in words is "two billion, two hundred twenty-eight million, eight hundred fifteen thousand, six hundred eighty".