2442785280 has 320 divisors, whose sum is σ = 8620698240. Its totient is φ = 586285056.

The previous prime is 2442785263. The next prime is 2442785287. The reversal of 2442785280 is 825872442.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (2442785287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4292836 + ... + 4293404.

It is an arithmetic number, because the mean of its divisors is an integer number (26939682).

Almost surely, 2^2442785280 is an apocalyptic number.

2442785280 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 2442785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310349120).

2442785280 is an abundant number, since it is smaller than the sum of its proper divisors (6177912960).

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

2442785280 is a wasteful number, since it uses less digits than its factorization.

2442785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 2442785280 is about 49424.5412725298. The cubic root of 2442785280 is about 1346.7751614491.

The spelling of 2442785280 in words is "two billion, four hundred forty-two million, seven hundred eighty-five thousand, two hundred eighty".