2266361856000 has 2048 divisors, whose sum is σ = 9657489254400. Its totient is φ = 525533184000.

The previous prime is 2266361855963. The next prime is 2266361856013. The reversal of 2266361856000 is 6581636622.

2266361856000 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 36 + 1 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-4 number, since 4×2266361856000⁴ (a number of 51 digits) contains 4444 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98537471989 + ... + 98537472011.

It is an arithmetic number, because the mean of its divisors is an integer number (4715570925).

Almost surely, 2^{2266361856000} is an apocalyptic number.

2266361856000 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 2266361856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828744627200).

2266361856000 is an abundant number, since it is smaller than the sum of its proper divisors (7391127398400).

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

2266361856000 is an frugal number, since it uses more digits than its factorization.

2266361856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2266361856000 in words is "two trillion, two hundred sixty-six billion, three hundred sixty-one million, eight hundred fifty-six thousand".