2418360840 has 512 divisors, whose sum is σ = 10085990400. Its totient is φ = 502640640.

The previous prime is 2418360787. The next prime is 2418360859. The reversal of 2418360840 is 480638142.

2418360840 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 3 + 608 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2418360795 and 2418360804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3983817 + ... + 3984423.

It is an arithmetic number, because the mean of its divisors is an integer number (19699200).

Almost surely, 2^2418360840 is an apocalyptic number.

2418360840 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 2418360840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042995200).

2418360840 is an abundant number, since it is smaller than the sum of its proper divisors (7667629560).

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

2418360840 is a wasteful number, since it uses less digits than its factorization.

2418360840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2418360840 is about 49176.8323502033. The cubic root of 2418360840 is about 1342.2714944564.

Adding to 2418360840 its reverse (480638142), we get a palindrome (2898998982).

The spelling of 2418360840 in words is "two billion, four hundred eighteen million, three hundred sixty thousand, eight hundred forty".