2968313040 has 560 divisors, whose sum is σ = 12919994496. Its totient is φ = 615859200.

The previous prime is 2968313027. The next prime is 2968313087. The reversal of 2968313040 is 403138692.

2968313040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2968312986 and 2968313004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4490310 + ... + 4490970.

Almost surely, 2^2968313040 is an apocalyptic number.

2968313040 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 2968313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459997248).

2968313040 is an abundant number, since it is smaller than the sum of its proper divisors (9951681456).

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

2968313040 is a wasteful number, since it uses less digits than its factorization.

2968313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2968313040 is about 54482.2268267368. The cubic root of 2968313040 is about 1437.1537529271.

The spelling of 2968313040 in words is "two billion, nine hundred sixty-eight million, three hundred thirteen thousand, forty".