2565410348400 has 240 divisors, whose sum is σ = 8256785148000. Its totient is φ = 680875130880.

The previous prime is 2565410348393. The next prime is 2565410348407. The reversal of 2565410348400 is 48430145652.

It is an interprime number because it is at equal distance from previous prime (2565410348393) and next prime (2565410348407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565410348407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335387776 + ... + 335395424.

It is an arithmetic number, because the mean of its divisors is an integer number (34403271450).

Almost surely, 2^{2565410348400} is an apocalyptic number.

2565410348400 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 2565410348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128392574000).

2565410348400 is an abundant number, since it is smaller than the sum of its proper divisors (5691374799600).

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

2565410348400 is a wasteful number, since it uses less digits than its factorization.

2565410348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 2565410348400 in words is "two trillion, five hundred sixty-five billion, four hundred ten million, three hundred forty-eight thousand, four hundred".