2440162368 has 448 divisors, whose sum is σ = 8778240000. Its totient is φ = 663151104.

The previous prime is 2440162331. The next prime is 2440162411. The reversal of 2440162368 is 8632610442.

2440162368 is a `hidden beast` number, since 24 + 4 + 0 + 1 + 623 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13632103 + ... + 13632281.

Almost surely, 2^2440162368 is an apocalyptic number.

2440162368 is a gapful number since it is divisible by the number (28) 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 2440162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120000).

2440162368 is an abundant number, since it is smaller than the sum of its proper divisors (6338077632).

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

2440162368 is a wasteful number, since it uses less digits than its factorization.

2440162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2440162368 is about 49397.9996356128. Note that the first 3 decimals coincide. The cubic root of 2440162368 is about 1346.2929608190.

Adding to 2440162368 its sum of digits (36), we get a square (2440162404 = 49398²).

The spelling of 2440162368 in words is "two billion, four hundred forty million, one hundred sixty-two thousand, three hundred sixty-eight".