2278460160 has 216 divisors, whose sum is σ = 7968411360. Its totient is φ = 601030656.

The previous prime is 2278460153. The next prime is 2278460161. The reversal of 2278460160 is 610648722.

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

It is not an unprimeable number, because it can be changed into a prime (2278460161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1116421 + ... + 1118459.

Almost surely, 2^2278460160 is an apocalyptic number.

2278460160 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 2278460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984205680).

2278460160 is an abundant number, since it is smaller than the sum of its proper divisors (5689951200).

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

2278460160 is a wasteful number, since it uses less digits than its factorization.

2278460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2146 counting only the distinct ones).

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

The square root of 2278460160 is about 47733.2186218361. The cubic root of 2278460160 is about 1315.8725066882.

It can be divided in two parts, 22784 and 60160, that added together give a square (82944 = 288²).

The spelling of 2278460160 in words is "two billion, two hundred seventy-eight million, four hundred sixty thousand, one hundred sixty".