2440068480 has 192 divisors, whose sum is σ = 8921858400. Its totient is φ = 612384768.

The previous prime is 2440068473. The next prime is 2440068493. The reversal of 2440068480 is 848600442.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 85461 + ... + 110379.

Almost surely, 2^2440068480 is an apocalyptic number.

2440068480 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 2440068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460929200).

2440068480 is an abundant number, since it is smaller than the sum of its proper divisors (6481789920).

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

2440068480 is a wasteful number, since it uses less digits than its factorization.

2440068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24961 (or 24946 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2440068480 is about 49397.0493045890. The cubic root of 2440068480 is about 1346.2756938840.

The spelling of 2440068480 in words is "two billion, four hundred forty million, sixty-eight thousand, four hundred eighty".