2478258160 has 80 divisors (see below), whose sum is σ = 6931699200. Its totient is φ = 804964608.

The previous prime is 2478258157. The next prime is 2478258169. The reversal of 2478258160 is 618528742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2478258160² = 12283527015213171200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478258169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105820 + ... + 127099.

It is an arithmetic number, because the mean of its divisors is an integer number (86646240).

Almost surely, 2^2478258160 is an apocalyptic number.

2478258160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478258160 is an abundant number, since it is smaller than the sum of its proper divisors (4453441040).

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

2478258160 is a wasteful number, since it uses less digits than its factorization.

2478258160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232958 (or 232952 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 2478258160 is about 49782.1068256457. The cubic root of 2478258160 is about 1353.2629184057.

The spelling of 2478258160 in words is "two billion, four hundred seventy-eight million, two hundred fifty-eight thousand, one hundred sixty".