2418960384 has 144 divisors (see below), whose sum is σ = 7027020000. Its totient is φ = 801644544.

The previous prime is 2418960371. The next prime is 2418960389. The reversal of 2418960384 is 4830698142.

It is a happy number.

2418960384 is a `hidden beast` number, since 24 + 18 + 9 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2418960384² = 11702738678722854912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2418960389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4847367 + ... + 4847865.

It is an arithmetic number, because the mean of its divisors is an integer number (48798750).

Almost surely, 2^2418960384 is an apocalyptic number.

2418960384 is a gapful number since it is divisible by the number (24) 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 2418960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513510000).

2418960384 is an abundant number, since it is smaller than the sum of its proper divisors (4608059616).

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

2418960384 is a wasteful number, since it uses less digits than its factorization.

2418960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2418960384 is about 49182.9277697048. The cubic root of 2418960384 is about 1342.3824076438.

The spelling of 2418960384 in words is "two billion, four hundred eighteen million, nine hundred sixty thousand, three hundred eighty-four".