2661293845760 has 144 divisors (see below), whose sum is σ = 6985335006720. Its totient is φ = 963402424320.

The previous prime is 2661293845699. The next prime is 2661293845781. The reversal of 2661293845760 is 675483921662.

It is a self number, because there is not a number n which added to its sum of digits gives 2661293845760.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2716046 + ... + 3563634.

It is an arithmetic number, because the mean of its divisors is an integer number (48509270880).

It is a 1-persistent number, because it is pandigital, but 2⋅2661293845760 = 5322587691520 is not.

Almost surely, 2^{2661293845760} is an apocalyptic number.

2661293845760 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 2661293845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492667503360).

2661293845760 is an abundant number, since it is smaller than the sum of its proper divisors (4324041160960).

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

2661293845760 is a wasteful number, since it uses less digits than its factorization.

2661293845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847844 (or 847830 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

It can be divided in two parts, 2661293 and 845760, that added together give a palindrome (3507053).

The spelling of 2661293845760 in words is "two trillion, six hundred sixty-one billion, two hundred ninety-three million, eight hundred forty-five thousand, seven hundred sixty".