266212362240 has 1536 divisors, whose sum is σ = 1154829312000. Its totient is φ = 57330892800.

The previous prime is 266212362203. The next prime is 266212362253. The reversal of 266212362240 is 42263212662.

266212362240 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 1 + 23 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 266212362195 and 266212362204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 982333305 + ... + 982333575.

It is an arithmetic number, because the mean of its divisors is an integer number (751842000).

Almost surely, 2^266212362240 is an apocalyptic number.

266212362240 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 266212362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577414656000).

266212362240 is an abundant number, since it is smaller than the sum of its proper divisors (888616949760).

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

266212362240 is a wasteful number, since it uses less digits than its factorization.

266212362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 266212362240 in words is "two hundred sixty-six billion, two hundred twelve million, three hundred sixty-two thousand, two hundred forty".