2565424348416 has 360 divisors, whose sum is σ = 7787286993024. Its totient is φ = 839831224320.

The previous prime is 2565424348379. The next prime is 2565424348423. The reversal of 2565424348416 is 6148434245652.

2565424348416 is a `hidden beast` number, since 2 + 5 + 6 + 542 + 4 + 3 + 4 + 84 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 490424521 + ... + 490429751.

Almost surely, 2^{2565424348416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565424348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893643496512).

2565424348416 is an abundant number, since it is smaller than the sum of its proper divisors (5221862644608).

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

2565424348416 is an equidigital number, since it uses as much as digits as its factorization.

2565424348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5656 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 2565424348416 in words is "two trillion, five hundred sixty-five billion, four hundred twenty-four million, three hundred forty-eight thousand, four hundred sixteen".