2418119256960 has 640 divisors, whose sum is σ = 9435454063200. Its totient is φ = 585286041600.

The previous prime is 2418119256923. The next prime is 2418119256967. The reversal of 2418119256960 is 696529118142.

2418119256960 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 1 + 19 + 2 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2418119256897 and 2418119256906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418119256967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 404297170 + ... + 404303150.

Almost surely, 2^{2418119256960} is an apocalyptic number.

2418119256960 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 2418119256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717727031600).

2418119256960 is an abundant number, since it is smaller than the sum of its proper divisors (7017334806240).

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

2418119256960 is a wasteful number, since it uses less digits than its factorization.

2418119256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2418119256960 in words is "two trillion, four hundred eighteen billion, one hundred nineteen million, two hundred fifty-six thousand, nine hundred sixty".