2661579648 has 720 divisors, whose sum is σ = 10299152160. Its totient is φ = 679311360.

The previous prime is 2661579631. The next prime is 2661579649. The reversal of 2661579648 is 8469751662.

2661579648 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 579 + 64 + 8 = 666.

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

Its product of digits (4354560) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2661579594 and 2661579603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661579649) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 85857393 + ... + 85857423.

It is an arithmetic number, because the mean of its divisors is an integer number (14304378).

Almost surely, 2^2661579648 is an apocalyptic number.

2661579648 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 2661579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149576080).

2661579648 is an abundant number, since it is smaller than the sum of its proper divisors (7637572512).

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

2661579648 is a wasteful number, since it uses less digits than its factorization.

2661579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 2661579648 is about 51590.4995905254. The cubic root of 2661579648 is about 1385.8402019626.

The spelling of 2661579648 in words is "two billion, six hundred sixty-one million, five hundred seventy-nine thousand, six hundred forty-eight".