2078331857712 has 480 divisors, whose sum is σ = 6977953382400. Its totient is φ = 570425587200.

The previous prime is 2078331857683. The next prime is 2078331857729. The reversal of 2078331857712 is 2177581338702.

2078331857712 is a `hidden beast` number, since 20 + 7 + 8 + 3 + 31 + 8 + 577 + 12 = 666.

It is a super-2 number, since 2×2078331857712² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 77423589 + ... + 77450427.

It is an arithmetic number, because the mean of its divisors is an integer number (14537402880).

Almost surely, 2^{2078331857712} is an apocalyptic number.

2078331857712 is a gapful number since it is divisible by the number (22) 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 2078331857712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488976691200).

2078331857712 is an abundant number, since it is smaller than the sum of its proper divisors (4899621524688).

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

2078331857712 is a wasteful number, since it uses less digits than its factorization.

2078331857712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26997 (or 26988 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 2078331857712 in words is "two trillion, seventy-eight billion, three hundred thirty-one million, eight hundred fifty-seven thousand, seven hundred twelve".