2270315520 has 352 divisors, whose sum is σ = 8807667840. Its totient is φ = 550010880.

The previous prime is 2270315513. The next prime is 2270315521. The reversal of 2270315520 is 255130722.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (2270315521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519894 + ... + 1521386.

Almost surely, 2^2270315520 is an apocalyptic number.

2270315520 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 2270315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403833920).

2270315520 is an abundant number, since it is smaller than the sum of its proper divisors (6537352320).

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

2270315520 is a wasteful number, since it uses less digits than its factorization.

2270315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2270315520 is about 47647.8280722217. The cubic root of 2270315520 is about 1314.3027179365.

The spelling of 2270315520 in words is "two billion, two hundred seventy million, three hundred fifteen thousand, five hundred twenty".