2669080105440 has 720 divisors, whose sum is σ = 11311079117184. Its totient is φ = 590391244800.

The previous prime is 2669080105429. The next prime is 2669080105457. The reversal of 2669080105440 is 445010809662.

2669080105440 is a `hidden beast` number, since 2 + 6 + 6 + 90 + 8 + 0 + 10 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 19618450 + ... + 19754030.

Almost surely, 2^{2669080105440} is an apocalyptic number.

2669080105440 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 2669080105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655539558592).

2669080105440 is an abundant number, since it is smaller than the sum of its proper divisors (8641999011744).

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

2669080105440 is a wasteful number, since it uses less digits than its factorization.

2669080105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135653 (or 135629 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2669080105440 in words is "two trillion, six hundred sixty-nine billion, eighty million, one hundred five thousand, four hundred forty".