2566765740 has 288 divisors, whose sum is σ = 9562516992. Its totient is φ = 501811200.

The previous prime is 2566765709. The next prime is 2566765769. The reversal of 2566765740 is 475676652.

It is a self number, because there is not a number n which added to its sum of digits gives 2566765740.

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 95 ways as a sum of consecutive naturals, for example, 862455 + ... + 865425.

It is an arithmetic number, because the mean of its divisors is an integer number (33203184).

Almost surely, 2^2566765740 is an apocalyptic number.

2566765740 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 2566765740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781258496).

2566765740 is an abundant number, since it is smaller than the sum of its proper divisors (6995751252).

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

2566765740 is a wasteful number, since it uses less digits than its factorization.

2566765740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 2566765740 is about 50663.2582844807. The cubic root of 2566765740 is about 1369.1848277164.

The spelling of 2566765740 in words is "two billion, five hundred sixty-six million, seven hundred sixty-five thousand, seven hundred forty".