2059179978240 has 960 divisors, whose sum is σ = 9220764833280. Its totient is φ = 427871600640.

The previous prime is 2059179978227. The next prime is 2059179978241. The reversal of 2059179978240 is 428799719502.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059179978241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47878666 + ... + 47921654.

It is an arithmetic number, because the mean of its divisors is an integer number (9604963368).

Almost surely, 2^{2059179978240} is an apocalyptic number.

2059179978240 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 2059179978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610382416640).

2059179978240 is an abundant number, since it is smaller than the sum of its proper divisors (7161584855040).

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

2059179978240 is an equidigital number, since it uses as much as digits as its factorization.

2059179978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43045 (or 43017 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 2059179978240 in words is "two trillion, fifty-nine billion, one hundred seventy-nine million, nine hundred seventy-eight thousand, two hundred forty".