2866552416 has 288 divisors, whose sum is σ = 10407091968. Its totient is φ = 755827200.

The previous prime is 2866552411. The next prime is 2866552417. The reversal of 2866552416 is 6142556682.

2866552416 is a `hidden beast` number, since 2 + 86 + 6 + 552 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2866552411) 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, 705591 + ... + 709641.

It is an arithmetic number, because the mean of its divisors is an integer number (36135736).

Almost surely, 2^2866552416 is an apocalyptic number.

2866552416 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 2866552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203545984).

2866552416 is an abundant number, since it is smaller than the sum of its proper divisors (7540539552).

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

2866552416 is a wasteful number, since it uses less digits than its factorization.

2866552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4076 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2866552416 is about 53540.1943963598. The cubic root of 2866552416 is about 1420.5394392986.

The spelling of 2866552416 in words is "two billion, eight hundred sixty-six million, five hundred fifty-two thousand, four hundred sixteen".