2968335360 has 264 divisors, whose sum is σ = 10569250536. Its totient is φ = 769720320.

The previous prime is 2968335329. The next prime is 2968335373. The reversal of 2968335360 is 635338692.

2968335360 is a `hidden beast` number, since 29 + 68 + 33 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88510464 + 2879824896 = 9408^2 + 53664^2 .

It is a super-2 number, since 2×2968335360² = 17622029618852659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704090 + ... + 1705830.

Almost surely, 2^2968335360 is an apocalyptic number.

2968335360 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 2968335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284625268).

2968335360 is an abundant number, since it is smaller than the sum of its proper divisors (7600915176).

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

2968335360 is a wasteful number, since it uses less digits than its factorization.

2968335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2968335360 is about 54482.4316637942. The cubic root of 2968335360 is about 1437.1573551069.

The spelling of 2968335360 in words is "two billion, nine hundred sixty-eight million, three hundred thirty-five thousand, three hundred sixty".