2181864266496 has 576 divisors, whose sum is σ = 6701253672960. Its totient is φ = 699863224320.

The previous prime is 2181864266441. The next prime is 2181864266507. The reversal of 2181864266496 is 6946624681812.

2181864266496 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 86 + 4 + 2 + 66 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7107049575 + ... + 7107049881.

It is an arithmetic number, because the mean of its divisors is an integer number (11634120960).

Almost surely, 2^{2181864266496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181864266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350626836480).

2181864266496 is an abundant number, since it is smaller than the sum of its proper divisors (4519389406464).

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

2181864266496 is a wasteful number, since it uses less digits than its factorization.

2181864266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 657 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 2181864266496 in words is "two trillion, one hundred eighty-one billion, eight hundred sixty-four million, two hundred sixty-six thousand, four hundred ninety-six".