2440705680 has 240 divisors, whose sum is σ = 9559804800. Its totient is φ = 557819136.

The previous prime is 2440705643. The next prime is 2440705699. The reversal of 2440705680 is 865070442.

2440705680 is a `hidden beast` number, since 24 + 4 + 0 + 70 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242019 + ... + 251901.

It is an arithmetic number, because the mean of its divisors is an integer number (39832520).

Almost surely, 2^2440705680 is an apocalyptic number.

2440705680 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 2440705680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779902400).

2440705680 is an abundant number, since it is smaller than the sum of its proper divisors (7119099120).

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

2440705680 is a wasteful number, since it uses less digits than its factorization.

2440705680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2440705680 is about 49403.4986615321. The cubic root of 2440705680 is about 1346.3928725913.

The spelling of 2440705680 in words is "two billion, four hundred forty million, seven hundred five thousand, six hundred eighty".