2212859658240 has 2400 divisors, whose sum is σ = 10194565506048. Its totient is φ = 445906944000.

The previous prime is 2212859658197. The next prime is 2212859658259. The reversal of 2212859658240 is 428569582122.

2212859658240 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 8 + 59 + 6 + 582 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31167037405 + ... + 31167037475.

Almost surely, 2^{2212859658240} is an apocalyptic number.

2212859658240 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 2212859658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097282753024).

2212859658240 is an abundant number, since it is smaller than the sum of its proper divisors (7981705847808).

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

2212859658240 is an equidigital number, since it uses as much as digits as its factorization.

2212859658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2212859658240 in words is "two trillion, two hundred twelve billion, eight hundred fifty-nine million, six hundred fifty-eight thousand, two hundred forty".