2565035754736 has 160 divisors (see below), whose sum is σ = 6456680496000. Its totient is φ = 979747614720.

The previous prime is 2565035754733. The next prime is 2565035754773. The reversal of 2565035754736 is 6374575305652.

It is a super-3 number, since 3×2565035754736³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565035754733) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1449096 + ... + 2688856.

It is an arithmetic number, because the mean of its divisors is an integer number (40354253100).

Almost surely, 2^{2565035754736} is an apocalyptic number.

2565035754736 is a gapful number since it is divisible by the number (26) 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 2565035754736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228340248000).

2565035754736 is an abundant number, since it is smaller than the sum of its proper divisors (3891644741264).

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

2565035754736 is a wasteful number, since it uses less digits than its factorization.

2565035754736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239832 (or 1239812 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 58.

The spelling of 2565035754736 in words is "two trillion, five hundred sixty-five billion, thirty-five million, seven hundred fifty-four thousand, seven hundred thirty-six".