2078288584320 has 256 divisors, whose sum is σ = 7145740788480. Its totient is φ = 510745804800.

The previous prime is 2078288584283. The next prime is 2078288584331. The reversal of 2078288584320 is 234858828702.

It is a happy number.

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, 15332845 + ... + 15467795.

It is an arithmetic number, because the mean of its divisors is an integer number (27913049955).

Almost surely, 2^{2078288584320} is an apocalyptic number.

2078288584320 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 2078288584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572870394240).

2078288584320 is an abundant number, since it is smaller than the sum of its proper divisors (5067452204160).

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

2078288584320 is a wasteful number, since it uses less digits than its factorization.

2078288584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135603 (or 135591 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 2078288584320 in words is "two trillion, seventy-eight billion, two hundred eighty-eight million, five hundred eighty-four thousand, three hundred twenty".