2661487488 has 192 divisors, whose sum is σ = 8420630400. Its totient is φ = 800179200.

The previous prime is 2661487487. The next prime is 2661487501. The reversal of 2661487488 is 8847841662.

2661487488 is a `hidden beast` number, since 26 + 61 + 4 + 87 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661487487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760653 + ... + 1762163.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 2^2661487488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661487488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210315200).

2661487488 is an abundant number, since it is smaller than the sum of its proper divisors (5759142912).

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

2661487488 is a wasteful number, since it uses less digits than its factorization.

2661487488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1666 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2661487488 is about 51589.6063950870. The cubic root of 2661487488 is about 1385.8242063855.

The spelling of 2661487488 in words is "two billion, six hundred sixty-one million, four hundred eighty-seven thousand, four hundred eighty-eight".