2270107478160 has 60 divisors (see below), whose sum is σ = 7623777616572. Its totient is φ = 605361993984.

The previous prime is 2270107478137. The next prime is 2270107478161. The reversal of 2270107478160 is 618747010722.

2270107478160 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 10 + 7 + 478 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 517173845904 + 1752933632256 = 719148^2 + 1323984^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (2270107478161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1576462807 + ... + 1576464246.

Almost surely, 2^{2270107478160} is an apocalyptic number.

2270107478160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270107478160 is an abundant number, since it is smaller than the sum of its proper divisors (5353670138412).

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

2270107478160 is a wasteful number, since it uses less digits than its factorization.

2270107478160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152927072 (or 3152927063 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 2270107478160 in words is "two trillion, two hundred seventy billion, one hundred seven million, four hundred seventy-eight thousand, one hundred sixty".