2960318340 has 432 divisors, whose sum is σ = 11209895424. Its totient is φ = 653184000.

The previous prime is 2960318329. The next prime is 2960318377. The reversal of 2960318340 is 438130692.

2960318340 is a `hidden beast` number, since 2 + 9 + 603 + 1 + 8 + 3 + 40 = 666.

2960318340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2960318295 and 2960318304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7382140 + ... + 7382540.

It is an arithmetic number, because the mean of its divisors is an integer number (25948832).

Almost surely, 2^2960318340 is an apocalyptic number.

2960318340 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 2960318340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604947712).

2960318340 is an abundant number, since it is smaller than the sum of its proper divisors (8249577084).

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

2960318340 is a wasteful number, since it uses less digits than its factorization.

2960318340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

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

The square root of 2960318340 is about 54408.8075590708. The cubic root of 2960318340 is about 1435.8623410947.

The spelling of 2960318340 in words is "two billion, nine hundred sixty million, three hundred eighteen thousand, three hundred forty".