2661352244064 has 144 divisors (see below), whose sum is σ = 7869918970368. Its totient is φ = 884699252352.

The previous prime is 2661352244029. The next prime is 2661352244069. The reversal of 2661352244064 is 4604422531662.

It is a happy number.

2661352244064 is a `hidden beast` number, since 2 + 6 + 6 + 13 + 5 + 224 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661352244069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2387509 + ... + 3320075.

It is an arithmetic number, because the mean of its divisors is an integer number (54652215072).

Almost surely, 2^{2661352244064} is an apocalyptic number.

2661352244064 is a gapful number since it is divisible by the number (24) 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 2661352244064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934959485184).

2661352244064 is an abundant number, since it is smaller than the sum of its proper divisors (5208566726304).

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

2661352244064 is an equidigital number, since it uses as much as digits as its factorization.

2661352244064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932959 (or 932939 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2661352244064 in words is "two trillion, six hundred sixty-one billion, three hundred fifty-two million, two hundred forty-four thousand, sixty-four".