2782258472000 has 448 divisors, whose sum is σ = 7992192499200. Its totient is φ = 939781324800.

The previous prime is 2782258471997. The next prime is 2782258472033. The reversal of 2782258472000 is 2748522872.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066406696 + ... + 1066409304.

It is an arithmetic number, because the mean of its divisors is an integer number (17839715400).

Almost surely, 2^{2782258472000} is an apocalyptic number.

2782258472000 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 2782258472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996096249600).

2782258472000 is an abundant number, since it is smaller than the sum of its proper divisors (5209934027200).

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

2782258472000 is a wasteful number, since it uses less digits than its factorization.

2782258472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 47.

The spelling of 2782258472000 in words is "two trillion, seven hundred eighty-two billion, two hundred fifty-eight million, four hundred seventy-two thousand".