2661344100 has 180 divisors, whose sum is σ = 8738329600. Its totient is φ = 700539840.

The previous prime is 2661344039. The next prime is 2661344111. The reversal of 2661344100 is 14431662.

2661344100 is a `hidden beast` number, since 2 + 6 + 613 + 4 + 41 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 637821 + ... + 641979.

Almost surely, 2^2661344100 is an apocalyptic number.

2661344100 is a gapful number since it is divisible by the number (20) 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 2661344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369164800).

2661344100 is an abundant number, since it is smaller than the sum of its proper divisors (6076985500).

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

2661344100 is a wasteful number, since it uses less digits than its factorization.

2661344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2661344100 is about 51588.2166778422. The cubic root of 2661344100 is about 1385.7993187827.

Adding to 2661344100 its reverse (14431662), we get a palindrome (2675775762).

The spelling of 2661344100 in words is "two billion, six hundred sixty-one million, three hundred forty-four thousand, one hundred".