2916000000 has 441 divisors, whose sum is σ = 10908512713. Its totient is φ = 777600000.

The previous prime is 2915999969. The next prime is 2916000001. The reversal of 2916000000 is 6192.

The square root of 2916000000 is 54000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 2554695936 + 361304064 = 50544^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2916000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 583199998 + ... + 583200002.

Almost surely, 2^2916000000 is an apocalyptic number.

2916000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2916000000 is the 54000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2916000000

2916000000 is an abundant number, since it is smaller than the sum of its proper divisors (7992512713).

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

2916000000 is an frugal number, since it uses more digits than its factorization.

2916000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 2916000000 is about 1428.6609467714.

2916000000 divided by its product of nonzero digits (108) gives a cube (27000000 = 300³).

Adding to 2916000000 its reverse (6192), we get a palindrome (2916006192).

The spelling of 2916000000 in words is "two billion, nine hundred sixteen million", and thus it is an aban number.