2146825427208 has 512 divisors, whose sum is σ = 7010045337600. Its totient is φ = 531875635200.

The previous prime is 2146825427179. The next prime is 2146825427231. The reversal of 2146825427208 is 8027245286412.

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 127 ways as a sum of consecutive naturals, for example, 507641638 + ... + 507645866.

It is an arithmetic number, because the mean of its divisors is an integer number (13691494800).

Almost surely, 2^{2146825427208} is an apocalyptic number.

2146825427208 is a gapful number since it is divisible by the number (28) 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 2146825427208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505022668800).

2146825427208 is an abundant number, since it is smaller than the sum of its proper divisors (4863219910392).

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

2146825427208 is a wasteful number, since it uses less digits than its factorization.

2146825427208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 2146825427208 in words is "two trillion, one hundred forty-six billion, eight hundred twenty-five million, four hundred twenty-seven thousand, two hundred eight".