2082259222464 has 448 divisors, whose sum is σ = 6113634508800. Its totient is φ = 623058739200.

The previous prime is 2082259222441. The next prime is 2082259222469. The reversal of 2082259222464 is 4642229522802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082259222469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 977126679 + ... + 977128809.

It is an arithmetic number, because the mean of its divisors is an integer number (13646505600).

Almost surely, 2^{2082259222464} is an apocalyptic number.

2082259222464 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 2082259222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056817254400).

2082259222464 is an abundant number, since it is smaller than the sum of its proper divisors (4031375286336).

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

2082259222464 is a wasteful number, since it uses less digits than its factorization.

2082259222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 2082259222464 in words is "two trillion, eighty-two billion, two hundred fifty-nine million, two hundred twenty-two thousand, four hundred sixty-four".