2270792160 has 864 divisors, whose sum is σ = 10129287168. Its totient is φ = 452874240.

The previous prime is 2270792159. The next prime is 2270792171. The reversal of 2270792160 is 612970722.

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 143 ways as a sum of consecutive naturals, for example, 52809099 + ... + 52809141.

It is an arithmetic number, because the mean of its divisors is an integer number (11723712).

Almost surely, 2^2270792160 is an apocalyptic number.

2270792160 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 2270792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064643584).

2270792160 is an abundant number, since it is smaller than the sum of its proper divisors (7858495008).

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

2270792160 is a wasteful number, since it uses less digits than its factorization.

2270792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2270792160 is about 47652.8295067565. The cubic root of 2270792160 is about 1314.3946883267.

It can be divided in two parts, 2270 and 792160, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 2270792160 in words is "two billion, two hundred seventy million, seven hundred ninety-two thousand, one hundred sixty".