2661441552 has 240 divisors, whose sum is σ = 9485678592. Its totient is φ = 676442880.

The previous prime is 2661441509. The next prime is 2661441553. The reversal of 2661441552 is 2551441662.

2661441552 is a `hidden beast` number, since 2 + 6 + 61 + 4 + 41 + 552 = 666.

It is a super-2 number, since 2×2661441552² = 14166542269424337408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2661441553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518583 + ... + 523689.

Almost surely, 2^2661441552 is an apocalyptic number.

2661441552 is a gapful number since it is divisible by the number (22) 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 2661441552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742839296).

2661441552 is an abundant number, since it is smaller than the sum of its proper divisors (6824237040).

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

2661441552 is a wasteful number, since it uses less digits than its factorization.

2661441552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5177 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2661441552 is about 51589.1611872106. The cubic root of 2661441552 is about 1385.8162334522.

The spelling of 2661441552 in words is "two billion, six hundred sixty-one million, four hundred forty-one thousand, five hundred fifty-two".