2556091883520 has 1176 divisors, whose sum is σ = 10704863344104. Its totient is φ = 583915143168.

The previous prime is 2556091883519. The next prime is 2556091883563. The reversal of 2556091883520 is 253881906552.

It is a happy number.

2556091883520 is a `hidden beast` number, since 2 + 5 + 5 + 609 + 1 + 8 + 8 + 3 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1463131287 + ... + 1463133033.

Almost surely, 2^{2556091883520} is an apocalyptic number.

2556091883520 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 2556091883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352431672052).

2556091883520 is an abundant number, since it is smaller than the sum of its proper divisors (8148771460584).

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

2556091883520 is an frugal number, since it uses more digits than its factorization.

2556091883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 2556091883520 in words is "two trillion, five hundred fifty-six billion, ninety-one million, eight hundred eighty-three thousand, five hundred twenty".