2468818440 has 320 divisors, whose sum is σ = 9230189760. Its totient is φ = 586759680.

The previous prime is 2468818439. The next prime is 2468818481. The reversal of 2468818440 is 448188642.

2468818440 is a `hidden beast` number, since 2 + 468 + 8 + 184 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1888267 + ... + 1889573.

It is an arithmetic number, because the mean of its divisors is an integer number (28844343).

Almost surely, 2^2468818440 is an apocalyptic number.

2468818440 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 2468818440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615094880).

2468818440 is an abundant number, since it is smaller than the sum of its proper divisors (6761371320).

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

2468818440 is a wasteful number, since it uses less digits than its factorization.

2468818440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2468818440 is about 49687.2059991302. The cubic root of 2468818440 is about 1351.5425331003.

The spelling of 2468818440 in words is "two billion, four hundred sixty-eight million, eight hundred eighteen thousand, four hundred forty".