2228827680 has 144 divisors (see below), whose sum is σ = 8006281920. Its totient is φ = 563065344.

The previous prime is 2228827649. The next prime is 2228827693. The reversal of 2228827680 is 867288222.

It is a happy number.

2228827680 is a `hidden beast` number, since 22 + 288 + 276 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13372 + ... + 68091.

It is an arithmetic number, because the mean of its divisors is an integer number (55599180).

Almost surely, 2^2228827680 is an apocalyptic number.

2228827680 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 2228827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003140960).

2228827680 is an abundant number, since it is smaller than the sum of its proper divisors (5777454240).

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

2228827680 is a wasteful number, since it uses less digits than its factorization.

2228827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81503 (or 81492 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2228827680 is about 47210.4615524991. The cubic root of 2228827680 is about 1306.2475760431.

The spelling of 2228827680 in words is "two billion, two hundred twenty-eight million, eight hundred twenty-seven thousand, six hundred eighty".