2106537436560 has 80 divisors (see below), whose sum is σ = 6622241685120. Its totient is φ = 553831434240.

The previous prime is 2106537436559. The next prime is 2106537436561. The reversal of 2106537436560 is 656347356012.

It is an interprime number because it is at equal distance from previous prime (2106537436559) and next prime (2106537436561).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2106537436561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61794505 + ... + 61828584.

It is an arithmetic number, because the mean of its divisors is an integer number (82778021064).

Almost surely, 2^{2106537436560} is an apocalyptic number.

2106537436560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106537436560 is an abundant number, since it is smaller than the sum of its proper divisors (4515704248560).

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

2106537436560 is a wasteful number, since it uses less digits than its factorization.

2106537436560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123623176 (or 123623170 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 2106537436560 in words is "two trillion, one hundred six billion, five hundred thirty-seven million, four hundred thirty-six thousand, five hundred sixty".