2078451608064 has 320 divisors, whose sum is σ = 6061918262400. Its totient is φ = 628952924160.

The previous prime is 2078451608059. The next prime is 2078451608071. The reversal of 2078451608064 is 4608061548702.

It is a super-2 number, since 2×2078451608064² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2078451607998 and 2078451608016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403410204 + ... + 1403411684.

It is an arithmetic number, because the mean of its divisors is an integer number (18943494570).

Almost surely, 2^{2078451608064} is an apocalyptic number.

2078451608064 is a gapful number since it is divisible by the number (24) 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 2078451608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030959131200).

2078451608064 is an abundant number, since it is smaller than the sum of its proper divisors (3983466654336).

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

2078451608064 is a wasteful number, since it uses less digits than its factorization.

2078451608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 2078451608064 in words is "two trillion, seventy-eight billion, four hundred fifty-one million, six hundred eight thousand, sixty-four".