2010565215540 has 288 divisors, whose sum is σ = 7165210590720. Its totient is φ = 446707934208.

The previous prime is 2010565215539. The next prime is 2010565215569. The reversal of 2010565215540 is 455125650102.

2010565215540 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 56 + 52 + 1 + 554 + 0 = 666.

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 = 2010565215495 and 2010565215504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49816609 + ... + 49856951.

It is an arithmetic number, because the mean of its divisors is an integer number (24879203440).

Almost surely, 2^{2010565215540} is an apocalyptic number.

2010565215540 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 2010565215540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582605295360).

2010565215540 is an abundant number, since it is smaller than the sum of its proper divisors (5154645375180).

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

2010565215540 is a wasteful number, since it uses less digits than its factorization.

2010565215540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41471 (or 41466 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 2010565215540 in words is "two trillion, ten billion, five hundred sixty-five million, two hundred fifteen thousand, five hundred forty".