2418323040 has 960 divisors, whose sum is σ = 10889303040. Its totient is φ = 492687360.

The previous prime is 2418322993. The next prime is 2418323069. The reversal of 2418323040 is 403238142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2418322995 and 2418323013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39644610 + ... + 39644670.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^2418323040 is an apocalyptic number.

2418323040 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 2418323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444651520).

2418323040 is an abundant number, since it is smaller than the sum of its proper divisors (8470980000).

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

2418323040 is a wasteful number, since it uses less digits than its factorization.

2418323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2418323040 is about 49176.4480213852. The cubic root of 2418323040 is about 1342.2645009968.

The spelling of 2418323040 in words is "two billion, four hundred eighteen million, three hundred twenty-three thousand, forty".