2010865115520 has 1024 divisors, whose sum is σ = 7715782656000. Its totient is φ = 493334323200.

The previous prime is 2010865115503. The next prime is 2010865115521. The reversal of 2010865115520 is 255115680102.

2010865115520 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 86 + 51 + 1 + 5 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010865115521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2330086609 + ... + 2330087471.

It is an arithmetic number, because the mean of its divisors is an integer number (7534944000).

Almost surely, 2^{2010865115520} is an apocalyptic number.

2010865115520 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 2010865115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857891328000).

2010865115520 is an abundant number, since it is smaller than the sum of its proper divisors (5704917540480).

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

2010865115520 is a wasteful number, since it uses less digits than its factorization.

2010865115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 2010865115520 in words is "two trillion, ten billion, eight hundred sixty-five million, one hundred fifteen thousand, five hundred twenty".