2106590513760 has 384 divisors, whose sum is σ = 7448070389760. Its totient is φ = 556063377408.

The previous prime is 2106590513759. The next prime is 2106590513789. The reversal of 2106590513760 is 673150956012.

2106590513760 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 590 + 51 + 3 + 7 + 6 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254016174 + ... + 254024466.

It is an arithmetic number, because the mean of its divisors is an integer number (19396016640).

Almost surely, 2^{2106590513760} is an apocalyptic number.

2106590513760 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 2106590513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724035194880).

2106590513760 is an abundant number, since it is smaller than the sum of its proper divisors (5341479876000).

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

2106590513760 is a wasteful number, since it uses less digits than its factorization.

2106590513760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 2106590513760 in words is "two trillion, one hundred six billion, five hundred ninety million, five hundred thirteen thousand, seven hundred sixty".