2780864478080 has 512 divisors, whose sum is σ = 7790378601600. Its totient is φ = 940368199680.

The previous prime is 2780864478079. The next prime is 2780864478103. The reversal of 2780864478080 is 808744680872.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 732382742 + ... + 732386538.

Almost surely, 2^{2780864478080} is an apocalyptic number.

2780864478080 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 2780864478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895189300800).

2780864478080 is an abundant number, since it is smaller than the sum of its proper divisors (5009514123520).

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

2780864478080 is a wasteful number, since it uses less digits than its factorization.

2780864478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 62.

The spelling of 2780864478080 in words is "two trillion, seven hundred eighty billion, eight hundred sixty-four million, four hundred seventy-eight thousand, eighty".