2056454657280 has 216 divisors, whose sum is σ = 7118509500648. Its totient is φ = 548126588928.

The previous prime is 2056454657263. The next prime is 2056454657287. The reversal of 2056454657280 is 827564546502.

2056454657280 is a `hidden beast` number, since 2 + 0 + 5 + 64 + 5 + 4 + 6 + 572 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13293167616 + 2043161489664 = 115296^2 + 1429392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056454657287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24761104 + ... + 24844016.

It is an arithmetic number, because the mean of its divisors is an integer number (32956062503).

Almost surely, 2^{2056454657280} is an apocalyptic number.

2056454657280 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 2056454657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559254750324).

2056454657280 is an abundant number, since it is smaller than the sum of its proper divisors (5062054843368).

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

2056454657280 is a wasteful number, since it uses less digits than its factorization.

2056454657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85093 (or 85076 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 2056454657280 in words is "two trillion, fifty-six billion, four hundred fifty-four million, six hundred fifty-seven thousand, two hundred eighty".