2782888558560 has 576 divisors, whose sum is σ = 10915469300736. Its totient is φ = 639033753600.

The previous prime is 2782888558559. The next prime is 2782888558573. The reversal of 2782888558560 is 658558882872.

2782888558560 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 8 + 8 + 8 + 5 + 58 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 37487880 + ... + 37562040.

It is an arithmetic number, because the mean of its divisors is an integer number (18950467536).

Almost surely, 2^{2782888558560} is an apocalyptic number.

2782888558560 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 2782888558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457734650368).

2782888558560 is an abundant number, since it is smaller than the sum of its proper divisors (8132580742176).

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

2782888558560 is a wasteful number, since it uses less digits than its factorization.

2782888558560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74319 (or 74308 counting only the distinct ones).

The product of its (nonzero) digits is 688128000, while the sum is 72.

The spelling of 2782888558560 in words is "two trillion, seven hundred eighty-two billion, eight hundred eighty-eight million, five hundred fifty-eight thousand, five hundred sixty".