2418258160 has 80 divisors (see below), whose sum is σ = 6020373600. Its totient is φ = 900128768.

The previous prime is 2418258127. The next prime is 2418258179. The reversal of 2418258160 is 618528142.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111051 + ... + 131029.

It is an arithmetic number, because the mean of its divisors is an integer number (75254670).

Almost surely, 2^2418258160 is an apocalyptic number.

2418258160 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 2418258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010186800).

2418258160 is an abundant number, since it is smaller than the sum of its proper divisors (3602115440).

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

2418258160 is a wasteful number, since it uses less digits than its factorization.

2418258160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20098 (or 20092 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 2418258160 is about 49175.7883515862. The cubic root of 2418258160 is about 1342.2524972379.

The spelling of 2418258160 in words is "two billion, four hundred eighteen million, two hundred fifty-eight thousand, one hundred sixty".