2569956204240 has 640 divisors, whose sum is σ = 9419557109760. Its totient is φ = 642957004800.

The previous prime is 2569956204149. The next prime is 2569956204241. The reversal of 2569956204240 is 424026599652.

2569956204240 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 9 + 5 + 620 + 4 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569956204241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447490809 + ... + 447496551.

It is an arithmetic number, because the mean of its divisors is an integer number (14718057984).

Almost surely, 2^{2569956204240} is an apocalyptic number.

2569956204240 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 2569956204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709778554880).

2569956204240 is an abundant number, since it is smaller than the sum of its proper divisors (6849600905520).

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

2569956204240 is a wasteful number, since it uses less digits than its factorization.

2569956204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2569956204240 in words is "two trillion, five hundred sixty-nine billion, nine hundred fifty-six million, two hundred four thousand, two hundred forty".