2661519168 has 448 divisors, whose sum is σ = 9913559040. Its totient is φ = 680140800.

The previous prime is 2661519143. The next prime is 2661519169. The reversal of 2661519168 is 8619151662.

2661519168 is a `hidden beast` number, since 2 + 6 + 615 + 19 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661519169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11043528 + ... + 11043768.

It is an arithmetic number, because the mean of its divisors is an integer number (22128480).

Almost surely, 2^2661519168 is an apocalyptic number.

2661519168 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 2661519168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956779520).

2661519168 is an abundant number, since it is smaller than the sum of its proper divisors (7252039872).

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

2661519168 is a wasteful number, since it uses less digits than its factorization.

2661519168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2661519168 is about 51589.9134327632. The cubic root of 2661519168 is about 1385.8297049068.

The spelling of 2661519168 in words is "two billion, six hundred sixty-one million, five hundred nineteen thousand, one hundred sixty-eight".