2270630880 has 480 divisors, whose sum is σ = 9285179904. Its totient is φ = 513962496.

The previous prime is 2270630839. The next prime is 2270630899. The reversal of 2270630880 is 880360722.

It is a happy number.

2270630880 is a `hidden beast` number, since 2 + 270 + 6 + 308 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22044909 + ... + 22045011.

Almost surely, 2^2270630880 is an apocalyptic number.

2270630880 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 2270630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642589952).

2270630880 is an abundant number, since it is smaller than the sum of its proper divisors (7014549024).

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

2270630880 is an frugal number, since it uses more digits than its factorization.

2270630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2270630880 is about 47651.1372372161. The cubic root of 2270630880 is about 1314.3635698771.

The spelling of 2270630880 in words is "two billion, two hundred seventy million, six hundred thirty thousand, eight hundred eighty".