2565250466240 has 448 divisors, whose sum is σ = 7889910202368. Its totient is φ = 770967244800.

The previous prime is 2565250466237. The next prime is 2565250466243. The reversal of 2565250466240 is 426640525652.

It is an interprime number because it is at equal distance from previous prime (2565250466237) and next prime (2565250466243).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565250466243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216160787 + ... + 216172653.

Almost surely, 2^{2565250466240} is an apocalyptic number.

2565250466240 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 2565250466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944955101184).

2565250466240 is an abundant number, since it is smaller than the sum of its proper divisors (5324659736128).

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

2565250466240 is a wasteful number, since it uses less digits than its factorization.

2565250466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 47.

The spelling of 2565250466240 in words is "two trillion, five hundred sixty-five billion, two hundred fifty million, four hundred sixty-six thousand, two hundred forty".