2840662066320 has 480 divisors, whose sum is σ = 10660276805760. Its totient is φ = 694935521280.

The previous prime is 2840662066301. The next prime is 2840662066321. The reversal of 2840662066320 is 236602660482.

2840662066320 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 6 + 6 + 2 + 0 + 6 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2840662066321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59477650 + ... + 59525390.

It is an arithmetic number, because the mean of its divisors is an integer number (22208910012).

Almost surely, 2^{2840662066320} is an apocalyptic number.

2840662066320 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 2840662066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330138402880).

2840662066320 is an abundant number, since it is smaller than the sum of its proper divisors (7819614739440).

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

2840662066320 is a wasteful number, since it uses less digits than its factorization.

2840662066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47952 (or 47927 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2840662066320 in words is "two trillion, eight hundred forty billion, six hundred sixty-two million, sixty-six thousand, three hundred twenty".