2663890071552 has 624 divisors, whose sum is σ = 8472298598400. Its totient is φ = 803269509120.

The previous prime is 2663890071529. The next prime is 2663890071559. The reversal of 2663890071552 is 2551700983662.

2663890071552 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 89 + 0 + 0 + 7 + 1 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (2663890071559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715318008 + ... + 1715319560.

It is an arithmetic number, because the mean of its divisors is an integer number (13577401600).

Almost surely, 2^{2663890071552} 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 2663890071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236149299200).

2663890071552 is an abundant number, since it is smaller than the sum of its proper divisors (5808408526848).

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

2663890071552 is a wasteful number, since it uses less digits than its factorization.

2663890071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2663890071552 in words is "two trillion, six hundred sixty-three billion, eight hundred ninety million, seventy-one thousand, five hundred fifty-two".