2059283466240 has 1536 divisors, whose sum is σ = 8920716779520. Its totient is φ = 391643136000.

The previous prime is 2059283466221. The next prime is 2059283466277. The reversal of 2059283466240 is 426643829502.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5135370040 + ... + 5135370440.

It is an arithmetic number, because the mean of its divisors is an integer number (5807758320).

Almost surely, 2^{2059283466240} is an apocalyptic number.

2059283466240 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 2059283466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460358389760).

2059283466240 is an abundant number, since it is smaller than the sum of its proper divisors (6861433313280).

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

2059283466240 is a wasteful number, since it uses less digits than its factorization.

2059283466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 2059283466240 in words is "two trillion, fifty-nine billion, two hundred eighty-three million, four hundred sixty-six thousand, two hundred forty".