2010380718240 has 288 divisors, whose sum is σ = 7116518013696. Its totient is φ = 535950535680.

The previous prime is 2010380718223. The next prime is 2010380718251. The reversal of 2010380718240 is 428170830102.

2010380718240 is a `hidden beast` number, since 20 + 1 + 0 + 380 + 7 + 18 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2010380718195 and 2010380718204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238446825 + ... + 238455255.

It is an arithmetic number, because the mean of its divisors is an integer number (24710131992).

Almost surely, 2^{2010380718240} is an apocalyptic number.

2010380718240 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 2010380718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558259006848).

2010380718240 is an abundant number, since it is smaller than the sum of its proper divisors (5106137295456).

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

2010380718240 is an equidigital number, since it uses as much as digits as its factorization.

2010380718240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14574 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2010380718240 in words is "two trillion, ten billion, three hundred eighty million, seven hundred eighteen thousand, two hundred forty".