2266460187264 has 1536 divisors, whose sum is σ = 8677853184000. Its totient is φ = 563305881600.

The previous prime is 2266460187241. The next prime is 2266460187281. The reversal of 2266460187264 is 4627810646622.

It is a happy number.

2266460187264 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 4 + 601 + 8 + 7 + 26 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2266460187264.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6847311579 + ... + 6847311909.

It is an arithmetic number, because the mean of its divisors is an integer number (5649644000).

Almost surely, 2^{2266460187264} is an apocalyptic number.

2266460187264 is a gapful number since it is divisible by the number (24) 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 2266460187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338926592000).

2266460187264 is an abundant number, since it is smaller than the sum of its proper divisors (6411392996736).

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

2266460187264 is a wasteful number, since it uses less digits than its factorization.

2266460187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2266460187264 in words is "two trillion, two hundred sixty-six billion, four hundred sixty million, one hundred eighty-seven thousand, two hundred sixty-four".