2785066352640 has 1368 divisors, whose sum is σ = 11494921171968. Its totient is φ = 618324295680.

The previous prime is 2785066352617. The next prime is 2785066352669. The reversal of 2785066352640 is 462536605872.

2785066352640 is a `hidden beast` number, since 2 + 7 + 8 + 50 + 6 + 63 + 526 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21929656257 + ... + 21929656383.

Almost surely, 2^{2785066352640} is an apocalyptic number.

2785066352640 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 2785066352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747460585984).

2785066352640 is an abundant number, since it is smaller than the sum of its proper divisors (8709854819328).

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

2785066352640 is a wasteful number, since it uses less digits than its factorization.

2785066352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2785066352640 in words is "two trillion, seven hundred eighty-five billion, sixty-six million, three hundred fifty-two thousand, six hundred forty".