2106509315580 has 96 divisors (see below), whose sum is σ = 6693022586880. Its totient is φ = 549783984960.

The previous prime is 2106509315557. The next prime is 2106509315587. The reversal of 2106509315580 is 855139056012.

2106509315580 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 5 + 0 + 93 + 1 + 558 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106509315587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41474016 + ... + 41524775.

It is an arithmetic number, because the mean of its divisors is an integer number (69718985280).

Almost surely, 2^{2106509315580} is an apocalyptic number.

2106509315580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106509315580 is an abundant number, since it is smaller than the sum of its proper divisors (4586513271300).

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

2106509315580 is a wasteful number, since it uses less digits than its factorization.

2106509315580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82998856 (or 82998848 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 2106509315580 in words is "two trillion, one hundred six billion, five hundred nine million, three hundred fifteen thousand, five hundred eighty".