2966340000 has 240 divisors, whose sum is σ = 10481419872. Its totient is φ = 729984000.

The previous prime is 2966339927. The next prime is 2966340019. The reversal of 2966340000 is 436692.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2966340000.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 778099 + ... + 781901.

Almost surely, 2^2966340000 is an apocalyptic number.

2966340000 is a gapful number since it is divisible by the number (20) 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 2966340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240709936).

2966340000 is an abundant number, since it is smaller than the sum of its proper divisors (7515079872).

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

2966340000 is a wasteful number, since it uses less digits than its factorization.

2966340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2966340000 is about 54464.1166273722. The cubic root of 2966340000 is about 1436.8352566071.

Adding to 2966340000 its reverse (436692), we get a palindrome (2966776692).

The spelling of 2966340000 in words is "two billion, nine hundred sixty-six million, three hundred forty thousand".