2182493787264 has 800 divisors, whose sum is σ = 7687318002540. Its totient is φ = 614515507200.

The previous prime is 2182493787263. The next prime is 2182493787281. The reversal of 2182493787264 is 4627873942812.

It is a happy number.

2182493787264 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 493 + 7 + 87 + 2 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1942009473600 + 240484313664 = 1393560^2 + 490392^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (2182493787263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1817229864 + ... + 1817231064.

Almost surely, 2^{2182493787264} is an apocalyptic number.

2182493787264 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 2182493787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843659001270).

2182493787264 is an abundant number, since it is smaller than the sum of its proper divisors (5504824215276).

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

2182493787264 is an frugal number, since it uses more digits than its factorization.

2182493787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1286 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 2182493787264 in words is "two trillion, one hundred eighty-two billion, four hundred ninety-three million, seven hundred eighty-seven thousand, two hundred sixty-four".