2270585856 has 352 divisors, whose sum is σ = 7829038080. Its totient is φ = 567705600.

The previous prime is 2270585851. The next prime is 2270585857. The reversal of 2270585856 is 6585850722.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270585851) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6859611 + ... + 6859941.

Almost surely, 2^2270585856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914519040).

2270585856 is an abundant number, since it is smaller than the sum of its proper divisors (5558452224).

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

2270585856 is a wasteful number, since it uses less digits than its factorization.

2270585856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 2270585856 is about 47650.6648012386. The cubic root of 2270585856 is about 1314.3548823801.

The spelling of 2270585856 in words is "two billion, two hundred seventy million, five hundred eighty-five thousand, eight hundred fifty-six".