2906642658088 has 64 divisors (see below), whose sum is σ = 6018650341200. Its totient is φ = 1307432017920.

The previous prime is 2906642658083. The next prime is 2906642658107. The reversal of 2906642658088 is 8808562466092.

It can be written as a sum of positive squares in 8 ways, for example, as 33663204 + 2906608994884 = 5802^2 + 1704878^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2906642658083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3705948 + ... + 4421236.

Almost surely, 2^{2906642658088} 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 2906642658088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009325170600).

2906642658088 is an abundant number, since it is smaller than the sum of its proper divisors (3112007683112).

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

2906642658088 is a wasteful number, since it uses less digits than its factorization.

2906642658088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716302 (or 716298 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 2906642658088 in words is "two trillion, nine hundred six billion, six hundred forty-two million, six hundred fifty-eight thousand, eighty-eight".