2478428160 has 416 divisors, whose sum is σ = 8917050240. Its totient is φ = 583532544.

The previous prime is 2478428137. The next prime is 2478428167. The reversal of 2478428160 is 618248742.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×2478428160² = 12285212288561971200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478428167) 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, 23162827 + ... + 23162933.

Almost surely, 2^2478428160 is an apocalyptic number.

2478428160 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 2478428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458525120).

2478428160 is an abundant number, since it is smaller than the sum of its proper divisors (6438622080).

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

2478428160 is a wasteful number, since it uses less digits than its factorization.

2478428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2478428160 is about 49783.8142371595. The cubic root of 2478428160 is about 1353.2938607613.

The spelling of 2478428160 in words is "two billion, four hundred seventy-eight million, four hundred twenty-eight thousand, one hundred sixty".