2892911643216 has 720 divisors, whose sum is σ = 9923839536000. Its totient is φ = 770018586624.

The previous prime is 2892911643211. The next prime is 2892911643233. The reversal of 2892911643216 is 6123461192982.

It is a happy number.

2892911643216 is a `hidden beast` number, since 2 + 8 + 92 + 9 + 116 + 432 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892911643211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4673524155 + ... + 4673524773.

Almost surely, 2^{2892911643216} 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 2892911643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961919768000).

2892911643216 is an abundant number, since it is smaller than the sum of its proper divisors (7030927892784).

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

2892911643216 is a wasteful number, since it uses less digits than its factorization.

2892911643216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 846 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 2892911643216 in words is "two trillion, eight hundred ninety-two billion, nine hundred eleven million, six hundred forty-three thousand, two hundred sixteen".