2061217821600 has 720 divisors, whose sum is σ = 8621590557888. Its totient is φ = 469441474560.

The previous prime is 2061217821599. The next prime is 2061217821617. The reversal of 2061217821600 is 61287121602.

2061217821600 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 21 + 7 + 8 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128360772 + ... + 128376828.

Almost surely, 2^{2061217821600} is an apocalyptic number.

2061217821600 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 2061217821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310795278944).

2061217821600 is an abundant number, since it is smaller than the sum of its proper divisors (6560372736288).

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

2061217821600 is a wasteful number, since it uses less digits than its factorization.

2061217821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16379 (or 16357 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 2061217821600 in words is "two trillion, sixty-one billion, two hundred seventeen million, eight hundred twenty-one thousand, six hundred".