2266367467680 has 240 divisors, whose sum is σ = 8002946175840. Its totient is φ = 604020284928.

The previous prime is 2266367467667. The next prime is 2266367467691. The reversal of 2266367467680 is 867647636622.

2266367467680 is a `hidden beast` number, since 2 + 2 + 66 + 36 + 7 + 467 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23110591 + ... + 23208449.

It is an arithmetic number, because the mean of its divisors is an integer number (33345609066).

Almost surely, 2^{2266367467680} is an apocalyptic number.

2266367467680 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 2266367467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001473087920).

2266367467680 is an abundant number, since it is smaller than the sum of its proper divisors (5736578708160).

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

2266367467680 is a wasteful number, since it uses less digits than its factorization.

2266367467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99673 (or 99656 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 2266367467680 in words is "two trillion, two hundred sixty-six billion, three hundred sixty-seven million, four hundred sixty-seven thousand, six hundred eighty".