2206540878048 has 576 divisors, whose sum is σ = 7120639169280. Its totient is φ = 668075102208.

The previous prime is 2206540878041. The next prime is 2206540878103. The reversal of 2206540878048 is 8408780456022.

2206540878048 is a `hidden beast` number, since 2 + 20 + 6 + 540 + 8 + 78 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2206540877985 and 2206540878003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206540878041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3431634015 + ... + 3431634657.

It is an arithmetic number, because the mean of its divisors is an integer number (12362220780).

Almost surely, 2^{2206540878048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206540878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560319584640).

2206540878048 is an abundant number, since it is smaller than the sum of its proper divisors (4914098291232).

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

2206540878048 is a wasteful number, since it uses less digits than its factorization.

2206540878048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2206540878048 in words is "two trillion, two hundred six billion, five hundred forty million, eight hundred seventy-eight thousand, forty-eight".