2109829135680 has 2240 divisors, whose sum is σ = 9365952921600. Its totient is φ = 440193761280.

The previous prime is 2109829135639. The next prime is 2109829135721. The reversal of 2109829135680 is 865319289012.

2109829135680 is a `hidden beast` number, since 210 + 98 + 291 + 3 + 56 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2109829135639) and next prime (2109829135721).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16612827777 + ... + 16612827903.

Almost surely, 2^{2109829135680} is an apocalyptic number.

2109829135680 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 2109829135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682976460800).

2109829135680 is an abundant number, since it is smaller than the sum of its proper divisors (7256123785920).

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

2109829135680 is a wasteful number, since it uses less digits than its factorization.

2109829135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2109829135680 in words is "two trillion, one hundred nine billion, eight hundred twenty-nine million, one hundred thirty-five thousand, six hundred eighty".