2816216187840 has 1344 divisors, whose sum is σ = 11335253529600. Its totient is φ = 635019264000.

The previous prime is 2816216187821. The next prime is 2816216187857. The reversal of 2816216187840 is 487816126182.

2816216187840 is a `hidden beast` number, since 2 + 8 + 1 + 621 + 6 + 1 + 8 + 7 + 8 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 4685883540 + ... + 4685884140.

It is an arithmetic number, because the mean of its divisors is an integer number (8433968400).

Almost surely, 2^{2816216187840} is an apocalyptic number.

2816216187840 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 2816216187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667626764800).

2816216187840 is an abundant number, since it is smaller than the sum of its proper divisors (8519037341760).

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

2816216187840 is a wasteful number, since it uses less digits than its factorization.

2816216187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2816216187840 in words is "two trillion, eight hundred sixteen billion, two hundred sixteen million, one hundred eighty-seven thousand, eight hundred forty".