2071704211200 has 2160 divisors, whose sum is σ = 8868316453920. Its totient is φ = 475474821120.

The previous prime is 2071704211169. The next prime is 2071704211201. The reversal of 2071704211200 is 21124071702.

It is a happy number.

2071704211200 is a `hidden beast` number, since 20 + 7 + 17 + 0 + 421 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071704211201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19361721547 + ... + 19361721653.

It is an arithmetic number, because the mean of its divisors is an integer number (4105702062).

Almost surely, 2^{2071704211200} is an apocalyptic number.

2071704211200 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 2071704211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434158226960).

2071704211200 is an abundant number, since it is smaller than the sum of its proper divisors (6796612242720).

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

2071704211200 is a wasteful number, since it uses less digits than its factorization.

2071704211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 2071704211200 its reverse (21124071702), we get a palindrome (2092828282902).

The spelling of 2071704211200 in words is "two trillion, seventy-one billion, seven hundred four million, two hundred eleven thousand, two hundred".