2892105216 has 960 divisors, whose sum is σ = 12190886400. Its totient is φ = 656916480.

The previous prime is 2892105211. The next prime is 2892105217. The reversal of 2892105216 is 6125012982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892105211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152216055 + ... + 152216073.

It is an arithmetic number, because the mean of its divisors is an integer number (12698840).

Almost surely, 2^2892105216 is an apocalyptic number.

2892105216 is a gapful number since it is divisible by the number (26) 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 2892105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095443200).

2892105216 is an abundant number, since it is smaller than the sum of its proper divisors (9298781184).

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

2892105216 is a wasteful number, since it uses less digits than its factorization.

2892105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2892105216 is about 53778.2968863835. The cubic root of 2892105216 is about 1424.7479133025.

The spelling of 2892105216 in words is "two billion, eight hundred ninety-two million, one hundred five thousand, two hundred sixteen".