2556000437760 has 2560 divisors, whose sum is σ = 11789673984000. Its totient is φ = 531116974080.

The previous prime is 2556000437747. The next prime is 2556000437801. The reversal of 2556000437760 is 677340006552.

2556000437760 is a `hidden beast` number, since 2 + 5 + 5 + 600 + 0 + 4 + 37 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 232363676155 + ... + 232363676165.

It is an arithmetic number, because the mean of its divisors is an integer number (4605341400).

Almost surely, 2^{2556000437760} is an apocalyptic number.

2556000437760 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 2556000437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894836992000).

2556000437760 is an abundant number, since it is smaller than the sum of its proper divisors (9233673546240).

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

2556000437760 is an frugal number, since it uses more digits than its factorization.

2556000437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 2556000437760 in words is "two trillion, five hundred fifty-six billion, four hundred thirty-seven thousand, seven hundred sixty".