8241048960 has 64 divisors (see below), whose sum is σ = 26268349680. Its totient is φ = 2197612544.

The previous prime is 8241048931. The next prime is 8241048973. The reversal of 8241048960 is 698401428.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8241048960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144187 + ... + 2148026.

Almost surely, 2^8241048960 is an apocalyptic number.

8241048960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8241048960 is an abundant number, since it is smaller than the sum of its proper divisors (18027300720).

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

8241048960 is a wasteful number, since it uses less digits than its factorization.

8241048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292235 (or 4292223 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 8241048960 is about 90780.2233969492. The cubic root of 8241048960 is about 2019.8889721023. Note that the first 3 decimals are identical.

The spelling of 8241048960 in words is "eight billion, two hundred forty-one million, forty-eight thousand, nine hundred sixty".