2665795754240 has 144 divisors (see below), whose sum is σ = 6546277601136. Its totient is φ = 1039495987200.

The previous prime is 2665795754233. The next prime is 2665795754273. The reversal of 2665795754240 is 424575975662.

It can be written as a sum of positive squares in 8 ways, for example, as 20150370304 + 2645645383936 = 141952^2 + 1626544^2 .

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, 69306854 + ... + 69345306.

It is an arithmetic number, because the mean of its divisors is an integer number (45460261119).

Almost surely, 2^{2665795754240} is an apocalyptic number.

2665795754240 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 2665795754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273138800568).

2665795754240 is an abundant number, since it is smaller than the sum of its proper divisors (3880481846896).

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

2665795754240 is a wasteful number, since it uses less digits than its factorization.

2665795754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39836 (or 39822 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 62.

The spelling of 2665795754240 in words is "two trillion, six hundred sixty-five billion, seven hundred ninety-five million, seven hundred fifty-four thousand, two hundred forty".