2179579248 has 480 divisors, whose sum is σ = 8334323712. Its totient is φ = 514252800.

The previous prime is 2179579219. The next prime is 2179579267. The reversal of 2179579248 is 8429759712.

2179579248 is a `hidden beast` number, since 21 + 7 + 9 + 579 + 2 + 48 = 666.

2179579248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2179579194 and 2179579203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5843190 + ... + 5843562.

Almost surely, 2^2179579248 is an apocalyptic number.

2179579248 is a gapful number since it is divisible by the number (28) 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 2179579248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167161856).

2179579248 is an abundant number, since it is smaller than the sum of its proper divisors (6154744464).

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

2179579248 is a wasteful number, since it uses less digits than its factorization.

2179579248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 2179579248 is about 46685.9641434125. The cubic root of 2179579248 is about 1296.5548321664.

The spelling of 2179579248 in words is "two billion, one hundred seventy-nine million, five hundred seventy-nine thousand, two hundred forty-eight".