2948568480 has 960 divisors, whose sum is σ = 12847621248. Its totient is φ = 627056640.

The previous prime is 2948568457. The next prime is 2948568499. The reversal of 2948568480 is 848658492.

2948568480 is a `hidden beast` number, since 2 + 9 + 485 + 6 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68571339 + ... + 68571381.

Almost surely, 2^2948568480 is an apocalyptic number.

2948568480 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 2948568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423810624).

2948568480 is an abundant number, since it is smaller than the sum of its proper divisors (9899052768).

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

2948568480 is a wasteful number, since it uses less digits than its factorization.

2948568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2948568480 is about 54300.7226471251. The cubic root of 2948568480 is about 1433.9601186367.

The spelling of 2948568480 in words is "two billion, nine hundred forty-eight million, five hundred sixty-eight thousand, four hundred eighty".