2968616000 has 168 divisors, whose sum is σ = 8553197016. Its totient is φ = 1017676800.

The previous prime is 2968615999. The next prime is 2968616009. The reversal of 2968616000 is 6168692.

It can be written as a sum of positive squares in 4 ways, for example, as 72454144 + 2896161856 = 8512^2 + 53816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968616009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388214 + ... + 395786.

It is an arithmetic number, because the mean of its divisors is an integer number (50911887).

Almost surely, 2^2968616000 is an apocalyptic number.

2968616000 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 2968616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276598508).

2968616000 is an abundant number, since it is smaller than the sum of its proper divisors (5584581016).

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

2968616000 is an equidigital number, since it uses as much as digits as its factorization.

2968616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2968616000 is about 54485.0071120487. The cubic root of 2968616000 is about 1437.2026454892.

The spelling of 2968616000 in words is "two billion, nine hundred sixty-eight million, six hundred sixteen thousand".