245893706240 has 640 divisors, whose sum is σ = 760271339520. Its totient is φ = 74185113600.

The previous prime is 245893706213. The next prime is 245893706243. The reversal of 245893706240 is 42607398542.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (245893706243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570518825 + ... + 570519255.

It is an arithmetic number, because the mean of its divisors is an integer number (1187923968).

Almost surely, 2^245893706240 is an apocalyptic number.

245893706240 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 245893706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380135669760).

245893706240 is an abundant number, since it is smaller than the sum of its proper divisors (514377633280).

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

245893706240 is a wasteful number, since it uses less digits than its factorization.

245893706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 245893706240 in words is "two hundred forty-five billion, eight hundred ninety-three million, seven hundred six thousand, two hundred forty".