2569045046040 has 768 divisors, whose sum is σ = 10228087296000. Its totient is φ = 570969907200.

The previous prime is 2569045046033. The next prime is 2569045046081. The reversal of 2569045046040 is 406405409652.

2569045046040 is a `hidden beast` number, since 2 + 56 + 90 + 4 + 50 + 460 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 76953832 + ... + 76987208.

It is an arithmetic number, because the mean of its divisors is an integer number (13317822000).

Almost surely, 2^{2569045046040} is an apocalyptic number.

2569045046040 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 2569045046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114043648000).

2569045046040 is an abundant number, since it is smaller than the sum of its proper divisors (7659042249960).

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

2569045046040 is a wasteful number, since it uses less digits than its factorization.

2569045046040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33469 (or 33448 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2569045046040 in words is "two trillion, five hundred sixty-nine billion, forty-five million, forty-six thousand, forty".