266904570240 has 1152 divisors, whose sum is σ = 1213464395520. Its totient is φ = 52510187520.

The previous prime is 266904570151. The next prime is 266904570253. The reversal of 266904570240 is 42075409662.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×266904570240² (a number of 24 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160109887 + ... + 160111553.

It is an arithmetic number, because the mean of its divisors is an integer number (1053354510).

Almost surely, 2^266904570240 is an apocalyptic number.

266904570240 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 266904570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606732197760).

266904570240 is an abundant number, since it is smaller than the sum of its proper divisors (946559825280).

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

266904570240 is a wasteful number, since it uses less digits than its factorization.

266904570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 266904570240 in words is "two hundred sixty-six billion, nine hundred four million, five hundred seventy thousand, two hundred forty".