245734475280 has 320 divisors, whose sum is σ = 881782848000. Its totient is φ = 55448616960.

The previous prime is 245734475269. The next prime is 245734475291. The reversal of 245734475280 is 82574437542.

It is an interprime number because it is at equal distance from previous prime (245734475269) and next prime (245734475291).

It is a super-2 number, since 2×245734475280² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158639946 + ... + 158641494.

It is an arithmetic number, because the mean of its divisors is an integer number (2755571400).

Almost surely, 2^245734475280 is an apocalyptic number.

245734475280 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 245734475280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440891424000).

245734475280 is an abundant number, since it is smaller than the sum of its proper divisors (636048372720).

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

245734475280 is a wasteful number, since it uses less digits than its factorization.

245734475280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 51.

The spelling of 245734475280 in words is "two hundred forty-five billion, seven hundred thirty-four million, four hundred seventy-five thousand, two hundred eighty".