2948516064 has 288 divisors, whose sum is σ = 9599335200. Its totient is φ = 851005440.

The previous prime is 2948516059. The next prime is 2948516071. The reversal of 2948516064 is 4606158492.

2948516064 is a `hidden beast` number, since 2 + 9 + 485 + 160 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 12875502 + ... + 12875730.

It is an arithmetic number, because the mean of its divisors is an integer number (33331025).

Almost surely, 2^2948516064 is an apocalyptic number.

2948516064 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 2948516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799667600).

2948516064 is an abundant number, since it is smaller than the sum of its proper divisors (6650819136).

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

2948516064 is a wasteful number, since it uses less digits than its factorization.

2948516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2948516064 is about 54300.2399994696. The cubic root of 2948516064 is about 1433.9516215304.

The spelling of 2948516064 in words is "two billion, nine hundred forty-eight million, five hundred sixteen thousand, sixty-four".