2440458720 has 672 divisors, whose sum is σ = 10246219200. Its totient is φ = 548674560.

The previous prime is 2440458689. The next prime is 2440458751. The reversal of 2440458720 is 278540442.

It is an interprime number because it is at equal distance from previous prime (2440458689) and next prime (2440458751).

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40007490 + ... + 40007550.

It is an arithmetic number, because the mean of its divisors is an integer number (15247350).

Almost surely, 2^2440458720 is an apocalyptic number.

2440458720 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 2440458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123109600).

2440458720 is an abundant number, since it is smaller than the sum of its proper divisors (7805760480).

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

2440458720 is an frugal number, since it uses more digits than its factorization.

2440458720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2440458720 is about 49400.9991801785. Note that the first 3 decimals coincide. The cubic root of 2440458720 is about 1346.3474599876.

The spelling of 2440458720 in words is "two billion, four hundred forty million, four hundred fifty-eight thousand, seven hundred twenty".