2816448560640 has 1440 divisors, whose sum is σ = 11768298718176. Its totient is φ = 613493637120.

The previous prime is 2816448560621. The next prime is 2816448560641. The reversal of 2816448560640 is 460658446182.

2816448560640 is a `hidden beast` number, since 2 + 8 + 1 + 64 + 485 + 60 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2816448560640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816448560641) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 22176760257 + ... + 22176760383.

Almost surely, 2^{2816448560640} is an apocalyptic number.

2816448560640 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 2816448560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884149359088).

2816448560640 is an abundant number, since it is smaller than the sum of its proper divisors (8951850157536).

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

2816448560640 is a wasteful number, since it uses less digits than its factorization.

2816448560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2816448560640 in words is "two trillion, eight hundred sixteen billion, four hundred forty-eight million, five hundred sixty thousand, six hundred forty".