2951936064 has 672 divisors, whose sum is σ = 11563868160. Its totient is φ = 696729600.

The previous prime is 2951936027. The next prime is 2951936087. The reversal of 2951936064 is 4606391592.

2951936064 is a `hidden beast` number, since 29 + 5 + 19 + 3 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26123272 + ... + 26123384.

Almost surely, 2^2951936064 is an apocalyptic number.

2951936064 is a gapful number since it is divisible by the number (24) 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 2951936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781934080).

2951936064 is an abundant number, since it is smaller than the sum of its proper divisors (8611932096).

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

2951936064 is a wasteful number, since it uses less digits than its factorization.

2951936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2951936064 is about 54331.7224464677. The cubic root of 2951936064 is about 1434.5058234359.

The spelling of 2951936064 in words is "two billion, nine hundred fifty-one million, nine hundred thirty-six thousand, sixty-four".