2951905968 has 240 divisors, whose sum is σ = 9711461760. Its totient is φ = 827366400.

The previous prime is 2951905939. The next prime is 2951905973. The reversal of 2951905968 is 8695091592.

2951905968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292988 + ... + 1295268.

It is an arithmetic number, because the mean of its divisors is an integer number (40464424).

Almost surely, 2^2951905968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2951905968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855730880).

2951905968 is an abundant number, since it is smaller than the sum of its proper divisors (6759555792).

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

2951905968 is a wasteful number, since it uses less digits than its factorization.

2951905968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 2951905968 is about 54331.4454804950. The cubic root of 2951905968 is about 1434.5009483265.

The spelling of 2951905968 in words is "two billion, nine hundred fifty-one million, nine hundred five thousand, nine hundred sixty-eight".