2816645260032 has 360 divisors, whose sum is σ = 8980929996192. Its totient is φ = 874893312000.

The previous prime is 2816645260019. The next prime is 2816645260043. The reversal of 2816645260032 is 2300625466182.

2816645260032 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 6 + 4 + 5 + 2 + 600 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2816645260032.

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 39 ways as a sum of consecutive naturals, for example, 35564157 + ... + 35643267.

Almost surely, 2^{2816645260032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816645260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490464998096).

2816645260032 is an abundant number, since it is smaller than the sum of its proper divisors (6164284736160).

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

2816645260032 is a wasteful number, since it uses less digits than its factorization.

2816645260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79257 (or 79234 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2816645260032 in words is "two trillion, eight hundred sixteen billion, six hundred forty-five million, two hundred sixty thousand, thirty-two".